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Finding the Fourth Proportional to 5,132.52, 7,698.78 and 2,056.68

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Solution

The fourth proportional to 5,132.52, 7,698.78 and 2,056.68 is: 3,085.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,132.52 : 7,698.78 = 2,056.68 : x
  2. Step 2: Convert to fraction form
    5,132.52/7,698.78 = 2,056.68/x
  3. Step 3: Cross multiply
    5,132.52x = 7,698.78 × 2,056.68
  4. Step 4: Simplify right side
    5,132.52x = 15,833,926.85
  5. Step 5: Solve for x
    x = 15,833,926.85/5,132.52
  6. Step 6: Final answer
    x = 3,085.02

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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.