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Finding the Fourth Proportional to 5,854.32, 8,078.54 and 3,616.43

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Solution

The fourth proportional to 5,854.32, 8,078.54 and 3,616.43 is: 4,990.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.32 : 8,078.54 = 3,616.43 : x
  2. Step 2: Convert to fraction form
    5,854.32/8,078.54 = 3,616.43/x
  3. Step 3: Cross multiply
    5,854.32x = 8,078.54 × 3,616.43
  4. Step 4: Simplify right side
    5,854.32x = 29,215,415.94
  5. Step 5: Solve for x
    x = 29,215,415.94/5,854.32
  6. Step 6: Final answer
    x = 4,990.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.