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Finding the Fourth Proportional to 3,493.74, 4,816.62 and 2,497.32

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Solution

The fourth proportional to 3,493.74, 4,816.62 and 2,497.32 is: 3,442.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.74 : 4,816.62 = 2,497.32 : x
  2. Step 2: Convert to fraction form
    3,493.74/4,816.62 = 2,497.32/x
  3. Step 3: Cross multiply
    3,493.74x = 4,816.62 × 2,497.32
  4. Step 4: Simplify right side
    3,493.74x = 12,028,641.46
  5. Step 5: Solve for x
    x = 12,028,641.46/3,493.74
  6. Step 6: Final answer
    x = 3,442.91

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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.