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Finding the Fourth Proportional to 5,843,672.93, 8,765,509.47 and 1,583,841.16

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Solution

The fourth proportional to 5,843,672.93, 8,765,509.47 and 1,583,841.16 is: 2,375,761.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843,672.93 : 8,765,509.47 = 1,583,841.16 : x
  2. Step 2: Convert to fraction form
    5,843,672.93/8,765,509.47 = 1,583,841.16/x
  3. Step 3: Cross multiply
    5,843,672.93x = 8,765,509.47 × 1,583,841.16
  4. Step 4: Simplify right side
    5,843,672.93x = 13,883,174,686,955.79
  5. Step 5: Solve for x
    x = 13,883,174,686,955.79/5,843,672.93
  6. Step 6: Final answer
    x = 2,375,761.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.