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Finding the Fourth Proportional to 6,117.74, 8,442.42 and 3,464.54

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Solution

The fourth proportional to 6,117.74, 8,442.42 and 3,464.54 is: 4,781.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.74 : 8,442.42 = 3,464.54 : x
  2. Step 2: Convert to fraction form
    6,117.74/8,442.42 = 3,464.54/x
  3. Step 3: Cross multiply
    6,117.74x = 8,442.42 × 3,464.54
  4. Step 4: Simplify right side
    6,117.74x = 29,249,101.79
  5. Step 5: Solve for x
    x = 29,249,101.79/6,117.74
  6. Step 6: Final answer
    x = 4,781.03

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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.