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Finding the Fourth Proportional to 5,748.40, 8,606.40 and 5,165.20

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Solution

The fourth proportional to 5,748.40, 8,606.40 and 5,165.20 is: 7,733.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.40 : 8,606.40 = 5,165.20 : x
  2. Step 2: Convert to fraction form
    5,748.40/8,606.40 = 5,165.20/x
  3. Step 3: Cross multiply
    5,748.40x = 8,606.40 × 5,165.20
  4. Step 4: Simplify right side
    5,748.40x = 44,453,777.28
  5. Step 5: Solve for x
    x = 44,453,777.28/5,748.40
  6. Step 6: Final answer
    x = 7,733.24

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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.