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Finding the Fourth Proportional to 5,655.84, 8,471.52 and 5,032.56

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Solution

The fourth proportional to 5,655.84, 8,471.52 and 5,032.56 is: 7,537.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.84 : 8,471.52 = 5,032.56 : x
  2. Step 2: Convert to fraction form
    5,655.84/8,471.52 = 5,032.56/x
  3. Step 3: Cross multiply
    5,655.84x = 8,471.52 × 5,032.56
  4. Step 4: Simplify right side
    5,655.84x = 42,633,432.69
  5. Step 5: Solve for x
    x = 42,633,432.69/5,655.84
  6. Step 6: Final answer
    x = 7,537.95

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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.