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Finding the Fourth Proportional to 4,760.40, 7,139.52 and 2,293.68

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Solution

The fourth proportional to 4,760.40, 7,139.52 and 2,293.68 is: 3,440.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.40 : 7,139.52 = 2,293.68 : x
  2. Step 2: Convert to fraction form
    4,760.40/7,139.52 = 2,293.68/x
  3. Step 3: Cross multiply
    4,760.40x = 7,139.52 × 2,293.68
  4. Step 4: Simplify right side
    4,760.40x = 16,375,774.23
  5. Step 5: Solve for x
    x = 16,375,774.23/4,760.40
  6. Step 6: Final answer
    x = 3,440.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.