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Finding the Fourth Proportional to 5,378.25, 8,065.98 and 2,415

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Solution

The fourth proportional to 5,378.25, 8,065.98 and 2,415 is: 3,621.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.25 : 8,065.98 = 2,415 : x
  2. Step 2: Convert to fraction form
    5,378.25/8,065.98 = 2,415/x
  3. Step 3: Cross multiply
    5,378.25x = 8,065.98 × 2,415
  4. Step 4: Simplify right side
    5,378.25x = 19,479,341.70
  5. Step 5: Solve for x
    x = 19,479,341.70/5,378.25
  6. Step 6: Final answer
    x = 3,621.87

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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.