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Finding the Fourth Proportional to 4,465.92, 6,158.59 and 4,112.76

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Solution

The fourth proportional to 4,465.92, 6,158.59 and 4,112.76 is: 5,671.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,465.92 : 6,158.59 = 4,112.76 : x
  2. Step 2: Convert to fraction form
    4,465.92/6,158.59 = 4,112.76/x
  3. Step 3: Cross multiply
    4,465.92x = 6,158.59 × 4,112.76
  4. Step 4: Simplify right side
    4,465.92x = 25,328,782.04
  5. Step 5: Solve for x
    x = 25,328,782.04/4,465.92
  6. Step 6: Final answer
    x = 5,671.57

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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.