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Finding the Fourth Proportional to 5,748.64, 8,627.10 and 3,895.16

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Solution

The fourth proportional to 5,748.64, 8,627.10 and 3,895.16 is: 5,845.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.64 : 8,627.10 = 3,895.16 : x
  2. Step 2: Convert to fraction form
    5,748.64/8,627.10 = 3,895.16/x
  3. Step 3: Cross multiply
    5,748.64x = 8,627.10 × 3,895.16
  4. Step 4: Simplify right side
    5,748.64x = 33,603,934.84
  5. Step 5: Solve for x
    x = 33,603,934.84/5,748.64
  6. Step 6: Final answer
    x = 5,845.55

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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.