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Finding the Fourth Proportional to 5,263.62, 7,889.88 and 1,752.69

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Solution

The fourth proportional to 5,263.62, 7,889.88 and 1,752.69 is: 2,627.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.62 : 7,889.88 = 1,752.69 : x
  2. Step 2: Convert to fraction form
    5,263.62/7,889.88 = 1,752.69/x
  3. Step 3: Cross multiply
    5,263.62x = 7,889.88 × 1,752.69
  4. Step 4: Simplify right side
    5,263.62x = 13,828,513.78
  5. Step 5: Solve for x
    x = 13,828,513.78/5,263.62
  6. Step 6: Final answer
    x = 2,627.19

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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.