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Finding the Fourth Proportional to 4,357.74, 6,013.83 and 2,469.30

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Solution

The fourth proportional to 4,357.74, 6,013.83 and 2,469.30 is: 3,407.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,357.74 : 6,013.83 = 2,469.30 : x
  2. Step 2: Convert to fraction form
    4,357.74/6,013.83 = 2,469.30/x
  3. Step 3: Cross multiply
    4,357.74x = 6,013.83 × 2,469.30
  4. Step 4: Simplify right side
    4,357.74x = 14,849,950.42
  5. Step 5: Solve for x
    x = 14,849,950.42/4,357.74
  6. Step 6: Final answer
    x = 3,407.72

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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.