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Finding the Fourth Proportional to 3,117.66, 4,663.68 and 2,843.95

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Solution

The fourth proportional to 3,117.66, 4,663.68 and 2,843.95 is: 4,254.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.66 : 4,663.68 = 2,843.95 : x
  2. Step 2: Convert to fraction form
    3,117.66/4,663.68 = 2,843.95/x
  3. Step 3: Cross multiply
    3,117.66x = 4,663.68 × 2,843.95
  4. Step 4: Simplify right side
    3,117.66x = 13,263,272.74
  5. Step 5: Solve for x
    x = 13,263,272.74/3,117.66
  6. Step 6: Final answer
    x = 4,254.24

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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.