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Finding the Fourth Proportional to 3,466.96, 5,200.28 and 1,275.53

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Solution

The fourth proportional to 3,466.96, 5,200.28 and 1,275.53 is: 1,913.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.96 : 5,200.28 = 1,275.53 : x
  2. Step 2: Convert to fraction form
    3,466.96/5,200.28 = 1,275.53/x
  3. Step 3: Cross multiply
    3,466.96x = 5,200.28 × 1,275.53
  4. Step 4: Simplify right side
    3,466.96x = 6,633,113.15
  5. Step 5: Solve for x
    x = 6,633,113.15/3,466.96
  6. Step 6: Final answer
    x = 1,913.24

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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.