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Finding the Fourth Proportional to 3,746.71, 5,171.37 and 2,254.35

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Solution

The fourth proportional to 3,746.71, 5,171.37 and 2,254.35 is: 3,111.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.71 : 5,171.37 = 2,254.35 : x
  2. Step 2: Convert to fraction form
    3,746.71/5,171.37 = 2,254.35/x
  3. Step 3: Cross multiply
    3,746.71x = 5,171.37 × 2,254.35
  4. Step 4: Simplify right side
    3,746.71x = 11,658,066.69
  5. Step 5: Solve for x
    x = 11,658,066.69/3,746.71
  6. Step 6: Final answer
    x = 3,111.55

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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.