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Finding the Fourth Proportional to 5,184.68, 7,156.22 and 2,947.86

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Solution

The fourth proportional to 5,184.68, 7,156.22 and 2,947.86 is: 4,068.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184.68 : 7,156.22 = 2,947.86 : x
  2. Step 2: Convert to fraction form
    5,184.68/7,156.22 = 2,947.86/x
  3. Step 3: Cross multiply
    5,184.68x = 7,156.22 × 2,947.86
  4. Step 4: Simplify right side
    5,184.68x = 21,095,519.95
  5. Step 5: Solve for x
    x = 21,095,519.95/5,184.68
  6. Step 6: Final answer
    x = 4,068.82

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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.