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Finding the Fourth Proportional to 4,507.84, 6,762.80 and 1,586.16

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Solution

The fourth proportional to 4,507.84, 6,762.80 and 1,586.16 is: 2,379.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507.84 : 6,762.80 = 1,586.16 : x
  2. Step 2: Convert to fraction form
    4,507.84/6,762.80 = 1,586.16/x
  3. Step 3: Cross multiply
    4,507.84x = 6,762.80 × 1,586.16
  4. Step 4: Simplify right side
    4,507.84x = 10,726,882.85
  5. Step 5: Solve for x
    x = 10,726,882.85/4,507.84
  6. Step 6: Final answer
    x = 2,379.61

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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.