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Finding the Fourth Proportional to 5,117.04, 7,677.16 and 2,039.04

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Solution

The fourth proportional to 5,117.04, 7,677.16 and 2,039.04 is: 3,059.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117.04 : 7,677.16 = 2,039.04 : x
  2. Step 2: Convert to fraction form
    5,117.04/7,677.16 = 2,039.04/x
  3. Step 3: Cross multiply
    5,117.04x = 7,677.16 × 2,039.04
  4. Step 4: Simplify right side
    5,117.04x = 15,654,036.33
  5. Step 5: Solve for x
    x = 15,654,036.33/5,117.04
  6. Step 6: Final answer
    x = 3,059.20

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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.