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Finding the Fourth Proportional to 5,695.84, 8,546.64 and 5,255.20

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Solution

The fourth proportional to 5,695.84, 8,546.64 and 5,255.20 is: 7,885.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.84 : 8,546.64 = 5,255.20 : x
  2. Step 2: Convert to fraction form
    5,695.84/8,546.64 = 5,255.20/x
  3. Step 3: Cross multiply
    5,695.84x = 8,546.64 × 5,255.20
  4. Step 4: Simplify right side
    5,695.84x = 44,914,302.53
  5. Step 5: Solve for x
    x = 44,914,302.53/5,695.84
  6. Step 6: Final answer
    x = 7,885.46

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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.