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Finding the Fourth Proportional to 5,166, 7,750.08 and 2,088

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Solution

The fourth proportional to 5,166, 7,750.08 and 2,088 is: 3,132.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166 : 7,750.08 = 2,088 : x
  2. Step 2: Convert to fraction form
    5,166/7,750.08 = 2,088/x
  3. Step 3: Cross multiply
    5,166x = 7,750.08 × 2,088
  4. Step 4: Simplify right side
    5,166x = 16,182,167.04
  5. Step 5: Solve for x
    x = 16,182,167.04/5,166
  6. Step 6: Final answer
    x = 3,132.44

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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.