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Finding the Fourth Proportional to 6,158.16, 8,498.52 and 3,363.84

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Solution

The fourth proportional to 6,158.16, 8,498.52 and 3,363.84 is: 4,642.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,158.16 : 8,498.52 = 3,363.84 : x
  2. Step 2: Convert to fraction form
    6,158.16/8,498.52 = 3,363.84/x
  3. Step 3: Cross multiply
    6,158.16x = 8,498.52 × 3,363.84
  4. Step 4: Simplify right side
    6,158.16x = 28,587,661.52
  5. Step 5: Solve for x
    x = 28,587,661.52/6,158.16
  6. Step 6: Final answer
    x = 4,642.24

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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.