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Finding the Fourth Proportional to 3,442.56, 4,743.36 and 3,019.68

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Solution

The fourth proportional to 3,442.56, 4,743.36 and 3,019.68 is: 4,160.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.56 : 4,743.36 = 3,019.68 : x
  2. Step 2: Convert to fraction form
    3,442.56/4,743.36 = 3,019.68/x
  3. Step 3: Cross multiply
    3,442.56x = 4,743.36 × 3,019.68
  4. Step 4: Simplify right side
    3,442.56x = 14,323,429.32
  5. Step 5: Solve for x
    x = 14,323,429.32/3,442.56
  6. Step 6: Final answer
    x = 4,160.69

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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.