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Finding the Fourth Proportional to 4,380.77, 6,572.02 and 1,607.47

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Solution

The fourth proportional to 4,380.77, 6,572.02 and 1,607.47 is: 2,411.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,380.77 : 6,572.02 = 1,607.47 : x
  2. Step 2: Convert to fraction form
    4,380.77/6,572.02 = 1,607.47/x
  3. Step 3: Cross multiply
    4,380.77x = 6,572.02 × 1,607.47
  4. Step 4: Simplify right side
    4,380.77x = 10,564,284.09
  5. Step 5: Solve for x
    x = 10,564,284.09/4,380.77
  6. Step 6: Final answer
    x = 2,411.51

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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.