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Finding the Fourth Proportional to 4,125.70, 5,693.34 and 2,948.74

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Solution

The fourth proportional to 4,125.70, 5,693.34 and 2,948.74 is: 4,069.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,125.70 : 5,693.34 = 2,948.74 : x
  2. Step 2: Convert to fraction form
    4,125.70/5,693.34 = 2,948.74/x
  3. Step 3: Cross multiply
    4,125.70x = 5,693.34 × 2,948.74
  4. Step 4: Simplify right side
    4,125.70x = 16,788,179.39
  5. Step 5: Solve for x
    x = 16,788,179.39/4,125.70
  6. Step 6: Final answer
    x = 4,069.17

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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.