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Finding the Fourth Proportional to 5,318.64, 7,981.62 and 1,855.92

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Solution

The fourth proportional to 5,318.64, 7,981.62 and 1,855.92 is: 2,785.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,318.64 : 7,981.62 = 1,855.92 : x
  2. Step 2: Convert to fraction form
    5,318.64/7,981.62 = 1,855.92/x
  3. Step 3: Cross multiply
    5,318.64x = 7,981.62 × 1,855.92
  4. Step 4: Simplify right side
    5,318.64x = 14,813,248.19
  5. Step 5: Solve for x
    x = 14,813,248.19/5,318.64
  6. Step 6: Final answer
    x = 2,785.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.