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Finding the Fourth Proportional to 3,903.76, 5,853.51 and 1,562.53

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Solution

The fourth proportional to 3,903.76, 5,853.51 and 1,562.53 is: 2,342.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.76 : 5,853.51 = 1,562.53 : x
  2. Step 2: Convert to fraction form
    3,903.76/5,853.51 = 1,562.53/x
  3. Step 3: Cross multiply
    3,903.76x = 5,853.51 × 1,562.53
  4. Step 4: Simplify right side
    3,903.76x = 9,146,284.98
  5. Step 5: Solve for x
    x = 9,146,284.98/3,903.76
  6. Step 6: Final answer
    x = 2,342.94

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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.