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Finding the Fourth Proportional to 4,536.16, 6,799.92 and 1,456

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Solution

The fourth proportional to 4,536.16, 6,799.92 and 1,456 is: 2,182.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.16 : 6,799.92 = 1,456 : x
  2. Step 2: Convert to fraction form
    4,536.16/6,799.92 = 1,456/x
  3. Step 3: Cross multiply
    4,536.16x = 6,799.92 × 1,456
  4. Step 4: Simplify right side
    4,536.16x = 9,900,683.52
  5. Step 5: Solve for x
    x = 9,900,683.52/4,536.16
  6. Step 6: Final answer
    x = 2,182.61

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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.