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Finding the Fourth Proportional to 5,706.88, 8,540.85 and 4,783.48

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Solution

The fourth proportional to 5,706.88, 8,540.85 and 4,783.48 is: 7,158.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.88 : 8,540.85 = 4,783.48 : x
  2. Step 2: Convert to fraction form
    5,706.88/8,540.85 = 4,783.48/x
  3. Step 3: Cross multiply
    5,706.88x = 8,540.85 × 4,783.48
  4. Step 4: Simplify right side
    5,706.88x = 40,854,985.16
  5. Step 5: Solve for x
    x = 40,854,985.16/5,706.88
  6. Step 6: Final answer
    x = 7,158.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.