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Finding the Fourth Proportional to 5,120.68, 7,686.36 and 4,539.40

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Solution

The fourth proportional to 5,120.68, 7,686.36 and 4,539.40 is: 6,813.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.68 : 7,686.36 = 4,539.40 : x
  2. Step 2: Convert to fraction form
    5,120.68/7,686.36 = 4,539.40/x
  3. Step 3: Cross multiply
    5,120.68x = 7,686.36 × 4,539.40
  4. Step 4: Simplify right side
    5,120.68x = 34,891,462.58
  5. Step 5: Solve for x
    x = 34,891,462.58/5,120.68
  6. Step 6: Final answer
    x = 6,813.83

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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.