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Finding the Fourth Proportional to 3,647.42, 5,442.66 and 3,254.72

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Solution

The fourth proportional to 3,647.42, 5,442.66 and 3,254.72 is: 4,856.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.42 : 5,442.66 = 3,254.72 : x
  2. Step 2: Convert to fraction form
    3,647.42/5,442.66 = 3,254.72/x
  3. Step 3: Cross multiply
    3,647.42x = 5,442.66 × 3,254.72
  4. Step 4: Simplify right side
    3,647.42x = 17,714,334.36
  5. Step 5: Solve for x
    x = 17,714,334.36/3,647.42
  6. Step 6: Final answer
    x = 4,856.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.