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Finding the Fourth Proportional to 5,928.32, 8,892.48 and 2,464

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Solution

The fourth proportional to 5,928.32, 8,892.48 and 2,464 is: 3,696

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,928.32 : 8,892.48 = 2,464 : x
  2. Step 2: Convert to fraction form
    5,928.32/8,892.48 = 2,464/x
  3. Step 3: Cross multiply
    5,928.32x = 8,892.48 × 2,464
  4. Step 4: Simplify right side
    5,928.32x = 21,911,070.72
  5. Step 5: Solve for x
    x = 21,911,070.72/5,928.32
  6. Step 6: Final answer
    x = 3,696

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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.