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Finding the Fourth Proportional to 6,146.92, 8,480.06 and 4,156.76

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Solution

The fourth proportional to 6,146.92, 8,480.06 and 4,156.76 is: 5,734.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.92 : 8,480.06 = 4,156.76 : x
  2. Step 2: Convert to fraction form
    6,146.92/8,480.06 = 4,156.76/x
  3. Step 3: Cross multiply
    6,146.92x = 8,480.06 × 4,156.76
  4. Step 4: Simplify right side
    6,146.92x = 35,249,574.21
  5. Step 5: Solve for x
    x = 35,249,574.21/6,146.92
  6. Step 6: Final answer
    x = 5,734.51

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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.