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Finding the Fourth Proportional to 4,387.17, 6,580.80 and 1,465.47

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Solution

The fourth proportional to 4,387.17, 6,580.80 and 1,465.47 is: 2,198.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,387.17 : 6,580.80 = 1,465.47 : x
  2. Step 2: Convert to fraction form
    4,387.17/6,580.80 = 1,465.47/x
  3. Step 3: Cross multiply
    4,387.17x = 6,580.80 × 1,465.47
  4. Step 4: Simplify right side
    4,387.17x = 9,643,964.98
  5. Step 5: Solve for x
    x = 9,643,964.98/4,387.17
  6. Step 6: Final answer
    x = 2,198.22

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