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Finding the Fourth Proportional to 3,802.66, 5,695.17 and 3,671.25

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Solution

The fourth proportional to 3,802.66, 5,695.17 and 3,671.25 is: 5,498.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.66 : 5,695.17 = 3,671.25 : x
  2. Step 2: Convert to fraction form
    3,802.66/5,695.17 = 3,671.25/x
  3. Step 3: Cross multiply
    3,802.66x = 5,695.17 × 3,671.25
  4. Step 4: Simplify right side
    3,802.66x = 20,908,392.86
  5. Step 5: Solve for x
    x = 20,908,392.86/3,802.66
  6. Step 6: Final answer
    x = 5,498.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.