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Finding the Fourth Proportional to 4,465.92, 6,160.68 and 2,894.52

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Solution

The fourth proportional to 4,465.92, 6,160.68 and 2,894.52 is: 3,992.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,465.92 : 6,160.68 = 2,894.52 : x
  2. Step 2: Convert to fraction form
    4,465.92/6,160.68 = 2,894.52/x
  3. Step 3: Cross multiply
    4,465.92x = 6,160.68 × 2,894.52
  4. Step 4: Simplify right side
    4,465.92x = 17,832,211.47
  5. Step 5: Solve for x
    x = 17,832,211.47/4,465.92
  6. Step 6: Final answer
    x = 3,992.95

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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.