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Finding the Fourth Proportional to 4,644.83, 6,966.63 and 2,303.93

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Solution

The fourth proportional to 4,644.83, 6,966.63 and 2,303.93 is: 3,455.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.83 : 6,966.63 = 2,303.93 : x
  2. Step 2: Convert to fraction form
    4,644.83/6,966.63 = 2,303.93/x
  3. Step 3: Cross multiply
    4,644.83x = 6,966.63 × 2,303.93
  4. Step 4: Simplify right side
    4,644.83x = 16,050,593.02
  5. Step 5: Solve for x
    x = 16,050,593.02/4,644.83
  6. Step 6: Final answer
    x = 3,455.59

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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.