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Finding the Fourth Proportional to 3,117.52, 4,307.88 and 2,965.66

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Solution

The fourth proportional to 3,117.52, 4,307.88 and 2,965.66 is: 4,098.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.52 : 4,307.88 = 2,965.66 : x
  2. Step 2: Convert to fraction form
    3,117.52/4,307.88 = 2,965.66/x
  3. Step 3: Cross multiply
    3,117.52x = 4,307.88 × 2,965.66
  4. Step 4: Simplify right side
    3,117.52x = 12,775,707.40
  5. Step 5: Solve for x
    x = 12,775,707.40/3,117.52
  6. Step 6: Final answer
    x = 4,098.04

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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.