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Finding the Fourth Proportional to 5,513.40, 8,266.32 and 2,592

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Solution

The fourth proportional to 5,513.40, 8,266.32 and 2,592 is: 3,886.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,513.40 : 8,266.32 = 2,592 : x
  2. Step 2: Convert to fraction form
    5,513.40/8,266.32 = 2,592/x
  3. Step 3: Cross multiply
    5,513.40x = 8,266.32 × 2,592
  4. Step 4: Simplify right side
    5,513.40x = 21,426,301.44
  5. Step 5: Solve for x
    x = 21,426,301.44/5,513.40
  6. Step 6: Final answer
    x = 3,886.22

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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.