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Finding the Fourth Proportional to 5,492.46, 8,238.97 and 1,597.18

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Solution

The fourth proportional to 5,492.46, 8,238.97 and 1,597.18 is: 2,395.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.46 : 8,238.97 = 1,597.18 : x
  2. Step 2: Convert to fraction form
    5,492.46/8,238.97 = 1,597.18/x
  3. Step 3: Cross multiply
    5,492.46x = 8,238.97 × 1,597.18
  4. Step 4: Simplify right side
    5,492.46x = 13,159,118.10
  5. Step 5: Solve for x
    x = 13,159,118.10/5,492.46
  6. Step 6: Final answer
    x = 2,395.85

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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.