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Finding the Fourth Proportional to 5,167.84, 7,130 and 2,929.54

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Solution

The fourth proportional to 5,167.84, 7,130 and 2,929.54 is: 4,041.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.84 : 7,130 = 2,929.54 : x
  2. Step 2: Convert to fraction form
    5,167.84/7,130 = 2,929.54/x
  3. Step 3: Cross multiply
    5,167.84x = 7,130 × 2,929.54
  4. Step 4: Simplify right side
    5,167.84x = 20,887,620.20
  5. Step 5: Solve for x
    x = 20,887,620.20/5,167.84
  6. Step 6: Final answer
    x = 4,041.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.