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Finding the Fourth Proportional to 5,102.55, 7,643.70 and 4,493.70

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Solution

The fourth proportional to 5,102.55, 7,643.70 and 4,493.70 is: 6,731.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.55 : 7,643.70 = 4,493.70 : x
  2. Step 2: Convert to fraction form
    5,102.55/7,643.70 = 4,493.70/x
  3. Step 3: Cross multiply
    5,102.55x = 7,643.70 × 4,493.70
  4. Step 4: Simplify right side
    5,102.55x = 34,348,494.69
  5. Step 5: Solve for x
    x = 34,348,494.69/5,102.55
  6. Step 6: Final answer
    x = 6,731.63

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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.