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Finding the Fourth Proportional to 5,364.92, 8,046.69 and 2,075.76

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Solution

The fourth proportional to 5,364.92, 8,046.69 and 2,075.76 is: 3,113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.92 : 8,046.69 = 2,075.76 : x
  2. Step 2: Convert to fraction form
    5,364.92/8,046.69 = 2,075.76/x
  3. Step 3: Cross multiply
    5,364.92x = 8,046.69 × 2,075.76
  4. Step 4: Simplify right side
    5,364.92x = 16,703,001.13
  5. Step 5: Solve for x
    x = 16,703,001.13/5,364.92
  6. Step 6: Final answer
    x = 3,113.38

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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.