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Finding the Fourth Proportional to 4,416, 6,098.40 and 2,923.20

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Solution

The fourth proportional to 4,416, 6,098.40 and 2,923.20 is: 4,036.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,416 : 6,098.40 = 2,923.20 : x
  2. Step 2: Convert to fraction form
    4,416/6,098.40 = 2,923.20/x
  3. Step 3: Cross multiply
    4,416x = 6,098.40 × 2,923.20
  4. Step 4: Simplify right side
    4,416x = 17,826,842.88
  5. Step 5: Solve for x
    x = 17,826,842.88/4,416
  6. Step 6: Final answer
    x = 4,036.88

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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.