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Finding the Fourth Proportional to 5,876.40, 8,109.84 and 5,482.80

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Solution

The fourth proportional to 5,876.40, 8,109.84 and 5,482.80 is: 7,566.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.40 : 8,109.84 = 5,482.80 : x
  2. Step 2: Convert to fraction form
    5,876.40/8,109.84 = 5,482.80/x
  3. Step 3: Cross multiply
    5,876.40x = 8,109.84 × 5,482.80
  4. Step 4: Simplify right side
    5,876.40x = 44,464,630.75
  5. Step 5: Solve for x
    x = 44,464,630.75/5,876.40
  6. Step 6: Final answer
    x = 7,566.64

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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.