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Finding the Fourth Proportional to 3,657.47, 5,046.05 and 2,085.17

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Solution

The fourth proportional to 3,657.47, 5,046.05 and 2,085.17 is: 2,876.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.47 : 5,046.05 = 2,085.17 : x
  2. Step 2: Convert to fraction form
    3,657.47/5,046.05 = 2,085.17/x
  3. Step 3: Cross multiply
    3,657.47x = 5,046.05 × 2,085.17
  4. Step 4: Simplify right side
    3,657.47x = 10,521,852.06
  5. Step 5: Solve for x
    x = 10,521,852.06/3,657.47
  6. Step 6: Final answer
    x = 2,876.82

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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.