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Finding the Fourth Proportional to 5,034.48, 6,946.20 and 3,266.16

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Solution

The fourth proportional to 5,034.48, 6,946.20 and 3,266.16 is: 4,506.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.48 : 6,946.20 = 3,266.16 : x
  2. Step 2: Convert to fraction form
    5,034.48/6,946.20 = 3,266.16/x
  3. Step 3: Cross multiply
    5,034.48x = 6,946.20 × 3,266.16
  4. Step 4: Simplify right side
    5,034.48x = 22,687,400.59
  5. Step 5: Solve for x
    x = 22,687,400.59/5,034.48
  6. Step 6: Final answer
    x = 4,506.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.