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Finding the Fourth Proportional to 4,306.32, 6,459.53 and 1,384.65

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Solution

The fourth proportional to 4,306.32, 6,459.53 and 1,384.65 is: 2,076.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306.32 : 6,459.53 = 1,384.65 : x
  2. Step 2: Convert to fraction form
    4,306.32/6,459.53 = 1,384.65/x
  3. Step 3: Cross multiply
    4,306.32x = 6,459.53 × 1,384.65
  4. Step 4: Simplify right side
    4,306.32x = 8,944,181.29
  5. Step 5: Solve for x
    x = 8,944,181.29/4,306.32
  6. Step 6: Final answer
    x = 2,076.99

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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.