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Finding the Fourth Proportional to 6,184.49, 8,535.02 and 3,494.78

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Solution

The fourth proportional to 6,184.49, 8,535.02 and 3,494.78 is: 4,823.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.49 : 8,535.02 = 3,494.78 : x
  2. Step 2: Convert to fraction form
    6,184.49/8,535.02 = 3,494.78/x
  3. Step 3: Cross multiply
    6,184.49x = 8,535.02 × 3,494.78
  4. Step 4: Simplify right side
    6,184.49x = 29,828,017.20
  5. Step 5: Solve for x
    x = 29,828,017.20/6,184.49
  6. Step 6: Final answer
    x = 4,823.04

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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.