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Finding the Fourth Proportional to 3,434.55, 5,152.19 and 1,486.95

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Solution

The fourth proportional to 3,434.55, 5,152.19 and 1,486.95 is: 2,230.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.55 : 5,152.19 = 1,486.95 : x
  2. Step 2: Convert to fraction form
    3,434.55/5,152.19 = 1,486.95/x
  3. Step 3: Cross multiply
    3,434.55x = 5,152.19 × 1,486.95
  4. Step 4: Simplify right side
    3,434.55x = 7,661,041.49
  5. Step 5: Solve for x
    x = 7,661,041.49/3,434.55
  6. Step 6: Final answer
    x = 2,230.58

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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.