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Finding the Fourth Proportional to 5,492.76, 8,239.20 and 1,597.16

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Solution

The fourth proportional to 5,492.76, 8,239.20 and 1,597.16 is: 2,395.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.76 : 8,239.20 = 1,597.16 : x
  2. Step 2: Convert to fraction form
    5,492.76/8,239.20 = 1,597.16/x
  3. Step 3: Cross multiply
    5,492.76x = 8,239.20 × 1,597.16
  4. Step 4: Simplify right side
    5,492.76x = 13,159,320.67
  5. Step 5: Solve for x
    x = 13,159,320.67/5,492.76
  6. Step 6: Final answer
    x = 2,395.76

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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.