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Finding the Fourth Proportional to 5,102.60, 7,654.65 and 1,814.90

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Solution

The fourth proportional to 5,102.60, 7,654.65 and 1,814.90 is: 2,722.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.60 : 7,654.65 = 1,814.90 : x
  2. Step 2: Convert to fraction form
    5,102.60/7,654.65 = 1,814.90/x
  3. Step 3: Cross multiply
    5,102.60x = 7,654.65 × 1,814.90
  4. Step 4: Simplify right side
    5,102.60x = 13,892,386.01
  5. Step 5: Solve for x
    x = 13,892,386.01/5,102.60
  6. Step 6: Final answer
    x = 2,722.61

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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.