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Finding the Fourth Proportional to 4,312.38, 6,468.89 and 1,392.78

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Solution

The fourth proportional to 4,312.38, 6,468.89 and 1,392.78 is: 2,089.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,312.38 : 6,468.89 = 1,392.78 : x
  2. Step 2: Convert to fraction form
    4,312.38/6,468.89 = 1,392.78/x
  3. Step 3: Cross multiply
    4,312.38x = 6,468.89 × 1,392.78
  4. Step 4: Simplify right side
    4,312.38x = 9,009,733.65
  5. Step 5: Solve for x
    x = 9,009,733.65/4,312.38
  6. Step 6: Final answer
    x = 2,089.27

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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.