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Finding the Fourth Proportional to 5,167.56, 7,750.53 and 1,880.18

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Solution

The fourth proportional to 5,167.56, 7,750.53 and 1,880.18 is: 2,819.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.56 : 7,750.53 = 1,880.18 : x
  2. Step 2: Convert to fraction form
    5,167.56/7,750.53 = 1,880.18/x
  3. Step 3: Cross multiply
    5,167.56x = 7,750.53 × 1,880.18
  4. Step 4: Simplify right side
    5,167.56x = 14,572,391.50
  5. Step 5: Solve for x
    x = 14,572,391.50/5,167.56
  6. Step 6: Final answer
    x = 2,819.98

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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.