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Finding the Fourth Proportional to 5,034.42, 7,547.49 and 4,487.76

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Solution

The fourth proportional to 5,034.42, 7,547.49 and 4,487.76 is: 6,727.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.42 : 7,547.49 = 4,487.76 : x
  2. Step 2: Convert to fraction form
    5,034.42/7,547.49 = 4,487.76/x
  3. Step 3: Cross multiply
    5,034.42x = 7,547.49 × 4,487.76
  4. Step 4: Simplify right side
    5,034.42x = 33,871,323.72
  5. Step 5: Solve for x
    x = 33,871,323.72/5,034.42
  6. Step 6: Final answer
    x = 6,727.95

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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.