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Finding the Fourth Proportional to 4,370.57, 6,550.38 and 3,442.47

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Solution

The fourth proportional to 4,370.57, 6,550.38 and 3,442.47 is: 5,159.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,370.57 : 6,550.38 = 3,442.47 : x
  2. Step 2: Convert to fraction form
    4,370.57/6,550.38 = 3,442.47/x
  3. Step 3: Cross multiply
    4,370.57x = 6,550.38 × 3,442.47
  4. Step 4: Simplify right side
    4,370.57x = 22,549,462.07
  5. Step 5: Solve for x
    x = 22,549,462.07/4,370.57
  6. Step 6: Final answer
    x = 5,159.39

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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.