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Finding the Fourth Proportional to 5,102.57, 7,041.03 and 3,423.65

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Solution

The fourth proportional to 5,102.57, 7,041.03 and 3,423.65 is: 4,724.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.57 : 7,041.03 = 3,423.65 : x
  2. Step 2: Convert to fraction form
    5,102.57/7,041.03 = 3,423.65/x
  3. Step 3: Cross multiply
    5,102.57x = 7,041.03 × 3,423.65
  4. Step 4: Simplify right side
    5,102.57x = 24,105,974.32
  5. Step 5: Solve for x
    x = 24,105,974.32/5,102.57
  6. Step 6: Final answer
    x = 4,724.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.