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Finding the Fourth Proportional to 5,250.63, 7,877.04 and 1,552.57

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Solution

The fourth proportional to 5,250.63, 7,877.04 and 1,552.57 is: 2,329.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,250.63 : 7,877.04 = 1,552.57 : x
  2. Step 2: Convert to fraction form
    5,250.63/7,877.04 = 1,552.57/x
  3. Step 3: Cross multiply
    5,250.63x = 7,877.04 × 1,552.57
  4. Step 4: Simplify right side
    5,250.63x = 12,229,655.99
  5. Step 5: Solve for x
    x = 12,229,655.99/5,250.63
  6. Step 6: Final answer
    x = 2,329.18

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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.