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Finding the Fourth Proportional to 5,141.62, 7,710.54 and 1,853.92

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Solution

The fourth proportional to 5,141.62, 7,710.54 and 1,853.92 is: 2,780.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.62 : 7,710.54 = 1,853.92 : x
  2. Step 2: Convert to fraction form
    5,141.62/7,710.54 = 1,853.92/x
  3. Step 3: Cross multiply
    5,141.62x = 7,710.54 × 1,853.92
  4. Step 4: Simplify right side
    5,141.62x = 14,294,724.32
  5. Step 5: Solve for x
    x = 14,294,724.32/5,141.62
  6. Step 6: Final answer
    x = 2,780.20

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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.