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Finding the Fourth Proportional to 5,536.47, 7,641.03 and 3,178.56

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Solution

The fourth proportional to 5,536.47, 7,641.03 and 3,178.56 is: 4,386.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,536.47 : 7,641.03 = 3,178.56 : x
  2. Step 2: Convert to fraction form
    5,536.47/7,641.03 = 3,178.56/x
  3. Step 3: Cross multiply
    5,536.47x = 7,641.03 × 3,178.56
  4. Step 4: Simplify right side
    5,536.47x = 24,287,472.32
  5. Step 5: Solve for x
    x = 24,287,472.32/5,536.47
  6. Step 6: Final answer
    x = 4,386.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.