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Finding the Fourth Proportional to 5,117.40, 7,683.12 and 2,653.92

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Solution

The fourth proportional to 5,117.40, 7,683.12 and 2,653.92 is: 3,984.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117.40 : 7,683.12 = 2,653.92 : x
  2. Step 2: Convert to fraction form
    5,117.40/7,683.12 = 2,653.92/x
  3. Step 3: Cross multiply
    5,117.40x = 7,683.12 × 2,653.92
  4. Step 4: Simplify right side
    5,117.40x = 20,390,385.83
  5. Step 5: Solve for x
    x = 20,390,385.83/5,117.40
  6. Step 6: Final answer
    x = 3,984.52

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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.