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Finding the Fourth Proportional to 4,502.12, 6,756.35 and 1,580.65

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Solution

The fourth proportional to 4,502.12, 6,756.35 and 1,580.65 is: 2,372.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502.12 : 6,756.35 = 1,580.65 : x
  2. Step 2: Convert to fraction form
    4,502.12/6,756.35 = 1,580.65/x
  3. Step 3: Cross multiply
    4,502.12x = 6,756.35 × 1,580.65
  4. Step 4: Simplify right side
    4,502.12x = 10,679,399.83
  5. Step 5: Solve for x
    x = 10,679,399.83/4,502.12
  6. Step 6: Final answer
    x = 2,372.09

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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.