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Finding the Fourth Proportional to 5,026.74, 6,934.05 and 3,160.50

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Solution

The fourth proportional to 5,026.74, 6,934.05 and 3,160.50 is: 4,359.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,026.74 : 6,934.05 = 3,160.50 : x
  2. Step 2: Convert to fraction form
    5,026.74/6,934.05 = 3,160.50/x
  3. Step 3: Cross multiply
    5,026.74x = 6,934.05 × 3,160.50
  4. Step 4: Simplify right side
    5,026.74x = 21,915,065.03
  5. Step 5: Solve for x
    x = 21,915,065.03/5,026.74
  6. Step 6: Final answer
    x = 4,359.70

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