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Finding the Fourth Proportional to 3,167.74, 4,368.63 and 2,772.46

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Solution

The fourth proportional to 3,167.74, 4,368.63 and 2,772.46 is: 3,823.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.74 : 4,368.63 = 2,772.46 : x
  2. Step 2: Convert to fraction form
    3,167.74/4,368.63 = 2,772.46/x
  3. Step 3: Cross multiply
    3,167.74x = 4,368.63 × 2,772.46
  4. Step 4: Simplify right side
    3,167.74x = 12,111,851.93
  5. Step 5: Solve for x
    x = 12,111,851.93/3,167.74
  6. Step 6: Final answer
    x = 3,823.50

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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.