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Finding the Fourth Proportional to 7,059.52, 10,577.76 and 3,592

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Solution

The fourth proportional to 7,059.52, 10,577.76 and 3,592 is: 5,382.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,059.52 : 10,577.76 = 3,592 : x
  2. Step 2: Convert to fraction form
    7,059.52/10,577.76 = 3,592/x
  3. Step 3: Cross multiply
    7,059.52x = 10,577.76 × 3,592
  4. Step 4: Simplify right side
    7,059.52x = 37,995,313.92
  5. Step 5: Solve for x
    x = 37,995,313.92/7,059.52
  6. Step 6: Final answer
    x = 5,382.14

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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.