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Finding the Fourth Proportional to 4,640.92, 6,928.19 and 4,478.92

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Solution

The fourth proportional to 4,640.92, 6,928.19 and 4,478.92 is: 6,686.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.92 : 6,928.19 = 4,478.92 : x
  2. Step 2: Convert to fraction form
    4,640.92/6,928.19 = 4,478.92/x
  3. Step 3: Cross multiply
    4,640.92x = 6,928.19 × 4,478.92
  4. Step 4: Simplify right side
    4,640.92x = 31,030,808.75
  5. Step 5: Solve for x
    x = 31,030,808.75/4,640.92
  6. Step 6: Final answer
    x = 6,686.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.