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Finding the Fourth Proportional to 4,705.20, 6,480.88 and 4,354.88

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Solution

The fourth proportional to 4,705.20, 6,480.88 and 4,354.88 is: 5,998.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.20 : 6,480.88 = 4,354.88 : x
  2. Step 2: Convert to fraction form
    4,705.20/6,480.88 = 4,354.88/x
  3. Step 3: Cross multiply
    4,705.20x = 6,480.88 × 4,354.88
  4. Step 4: Simplify right side
    4,705.20x = 28,223,454.69
  5. Step 5: Solve for x
    x = 28,223,454.69/4,705.20
  6. Step 6: Final answer
    x = 5,998.35

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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.