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Finding the Fourth Proportional to 4,502.32, 6,751.26 and 1,580.20

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Solution

The fourth proportional to 4,502.32, 6,751.26 and 1,580.20 is: 2,369.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502.32 : 6,751.26 = 1,580.20 : x
  2. Step 2: Convert to fraction form
    4,502.32/6,751.26 = 1,580.20/x
  3. Step 3: Cross multiply
    4,502.32x = 6,751.26 × 1,580.20
  4. Step 4: Simplify right side
    4,502.32x = 10,668,341.05
  5. Step 5: Solve for x
    x = 10,668,341.05/4,502.32
  6. Step 6: Final answer
    x = 2,369.52

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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.