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Finding the Fourth Proportional to 3,952.76, 5,454.77 and 2,184.35

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Solution

The fourth proportional to 3,952.76, 5,454.77 and 2,184.35 is: 3,014.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.76 : 5,454.77 = 2,184.35 : x
  2. Step 2: Convert to fraction form
    3,952.76/5,454.77 = 2,184.35/x
  3. Step 3: Cross multiply
    3,952.76x = 5,454.77 × 2,184.35
  4. Step 4: Simplify right side
    3,952.76x = 11,915,088.65
  5. Step 5: Solve for x
    x = 11,915,088.65/3,952.76
  6. Step 6: Final answer
    x = 3,014.38

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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.