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Finding the Fourth Proportional to 5,102.61, 7,655.84 and 3,474.51

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Solution

The fourth proportional to 5,102.61, 7,655.84 and 3,474.51 is: 5,213.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.61 : 7,655.84 = 3,474.51 : x
  2. Step 2: Convert to fraction form
    5,102.61/7,655.84 = 3,474.51/x
  3. Step 3: Cross multiply
    5,102.61x = 7,655.84 × 3,474.51
  4. Step 4: Simplify right side
    5,102.61x = 26,600,275.27
  5. Step 5: Solve for x
    x = 26,600,275.27/5,102.61
  6. Step 6: Final answer
    x = 5,213.07

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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.