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Finding the Fourth Proportional to 4,129.30, 5,697.05 and 2,359.65

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Solution

The fourth proportional to 4,129.30, 5,697.05 and 2,359.65 is: 3,255.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.30 : 5,697.05 = 2,359.65 : x
  2. Step 2: Convert to fraction form
    4,129.30/5,697.05 = 2,359.65/x
  3. Step 3: Cross multiply
    4,129.30x = 5,697.05 × 2,359.65
  4. Step 4: Simplify right side
    4,129.30x = 13,443,053.60
  5. Step 5: Solve for x
    x = 13,443,053.60/4,129.30
  6. Step 6: Final answer
    x = 3,255.53

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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.