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Finding the Fourth Proportional to 5,263.49, 7,892.59 and 1,752.25

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Solution

The fourth proportional to 5,263.49, 7,892.59 and 1,752.25 is: 2,627.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.49 : 7,892.59 = 1,752.25 : x
  2. Step 2: Convert to fraction form
    5,263.49/7,892.59 = 1,752.25/x
  3. Step 3: Cross multiply
    5,263.49x = 7,892.59 × 1,752.25
  4. Step 4: Simplify right side
    5,263.49x = 13,829,785.41
  5. Step 5: Solve for x
    x = 13,829,785.41/5,263.49
  6. Step 6: Final answer
    x = 2,627.49

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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.