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Finding the Fourth Proportional to 5,048.84, 6,963.30 and 4,156.76

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Solution

The fourth proportional to 5,048.84, 6,963.30 and 4,156.76 is: 5,732.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.84 : 6,963.30 = 4,156.76 : x
  2. Step 2: Convert to fraction form
    5,048.84/6,963.30 = 4,156.76/x
  3. Step 3: Cross multiply
    5,048.84x = 6,963.30 × 4,156.76
  4. Step 4: Simplify right side
    5,048.84x = 28,944,766.91
  5. Step 5: Solve for x
    x = 28,944,766.91/5,048.84
  6. Step 6: Final answer
    x = 5,732.95

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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.