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Finding the Fourth Proportional to 5,604.88, 8,411.76 and 3,139.24

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Solution

The fourth proportional to 5,604.88, 8,411.76 and 3,139.24 is: 4,711.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.88 : 8,411.76 = 3,139.24 : x
  2. Step 2: Convert to fraction form
    5,604.88/8,411.76 = 3,139.24/x
  3. Step 3: Cross multiply
    5,604.88x = 8,411.76 × 3,139.24
  4. Step 4: Simplify right side
    5,604.88x = 26,406,533.46
  5. Step 5: Solve for x
    x = 26,406,533.46/5,604.88
  6. Step 6: Final answer
    x = 4,711.35

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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.