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Finding the Fourth Proportional to 4,332.71, 6,499.52 and 1,410.32

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Solution

The fourth proportional to 4,332.71, 6,499.52 and 1,410.32 is: 2,115.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,332.71 : 6,499.52 = 1,410.32 : x
  2. Step 2: Convert to fraction form
    4,332.71/6,499.52 = 1,410.32/x
  3. Step 3: Cross multiply
    4,332.71x = 6,499.52 × 1,410.32
  4. Step 4: Simplify right side
    4,332.71x = 9,166,363.50
  5. Step 5: Solve for x
    x = 9,166,363.50/4,332.71
  6. Step 6: Final answer
    x = 2,115.62

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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.