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Finding the Fourth Proportional to 5,672.64, 8,506.08 and 2,592

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Solution

The fourth proportional to 5,672.64, 8,506.08 and 2,592 is: 3,886.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.64 : 8,506.08 = 2,592 : x
  2. Step 2: Convert to fraction form
    5,672.64/8,506.08 = 2,592/x
  3. Step 3: Cross multiply
    5,672.64x = 8,506.08 × 2,592
  4. Step 4: Simplify right side
    5,672.64x = 22,047,759.36
  5. Step 5: Solve for x
    x = 22,047,759.36/5,672.64
  6. Step 6: Final answer
    x = 3,886.68

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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.