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Finding the Fourth Proportional to 5,442.56, 7,510.16 and 3,851.36

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Solution

The fourth proportional to 5,442.56, 7,510.16 and 3,851.36 is: 5,314.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.56 : 7,510.16 = 3,851.36 : x
  2. Step 2: Convert to fraction form
    5,442.56/7,510.16 = 3,851.36/x
  3. Step 3: Cross multiply
    5,442.56x = 7,510.16 × 3,851.36
  4. Step 4: Simplify right side
    5,442.56x = 28,924,329.82
  5. Step 5: Solve for x
    x = 28,924,329.82/5,442.56
  6. Step 6: Final answer
    x = 5,314.47

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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.