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Finding the Fourth Proportional to 4,082.76, 6,124.05 and 1,309.32

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Solution

The fourth proportional to 4,082.76, 6,124.05 and 1,309.32 is: 1,963.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,082.76 : 6,124.05 = 1,309.32 : x
  2. Step 2: Convert to fraction form
    4,082.76/6,124.05 = 1,309.32/x
  3. Step 3: Cross multiply
    4,082.76x = 6,124.05 × 1,309.32
  4. Step 4: Simplify right side
    4,082.76x = 8,018,341.15
  5. Step 5: Solve for x
    x = 8,018,341.15/4,082.76
  6. Step 6: Final answer
    x = 1,963.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.