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Finding the Fourth Proportional to 5,869, 8,803.55 and 1,486.46

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Solution

The fourth proportional to 5,869, 8,803.55 and 1,486.46 is: 2,229.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,869 : 8,803.55 = 1,486.46 : x
  2. Step 2: Convert to fraction form
    5,869/8,803.55 = 1,486.46/x
  3. Step 3: Cross multiply
    5,869x = 8,803.55 × 1,486.46
  4. Step 4: Simplify right side
    5,869x = 13,086,124.93
  5. Step 5: Solve for x
    x = 13,086,124.93/5,869
  6. Step 6: Final answer
    x = 2,229.70

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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.