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Finding the Fourth Proportional to 3,445.78, 5,191.62 and 3,117.08

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Solution

The fourth proportional to 3,445.78, 5,191.62 and 3,117.08 is: 4,696.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,445.78 : 5,191.62 = 3,117.08 : x
  2. Step 2: Convert to fraction form
    3,445.78/5,191.62 = 3,117.08/x
  3. Step 3: Cross multiply
    3,445.78x = 5,191.62 × 3,117.08
  4. Step 4: Simplify right side
    3,445.78x = 16,182,694.87
  5. Step 5: Solve for x
    x = 16,182,694.87/3,445.78
  6. Step 6: Final answer
    x = 4,696.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.