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Finding the Fourth Proportional to 5,102.08, 7,654.02 and 1,770.76

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Solution

The fourth proportional to 5,102.08, 7,654.02 and 1,770.76 is: 2,656.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.08 : 7,654.02 = 1,770.76 : x
  2. Step 2: Convert to fraction form
    5,102.08/7,654.02 = 1,770.76/x
  3. Step 3: Cross multiply
    5,102.08x = 7,654.02 × 1,770.76
  4. Step 4: Simplify right side
    5,102.08x = 13,553,432.46
  5. Step 5: Solve for x
    x = 13,553,432.46/5,102.08
  6. Step 6: Final answer
    x = 2,656.45

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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.