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Finding the Fourth Proportional to 5,492.84, 8,238.12 and 1,597.28

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Solution

The fourth proportional to 5,492.84, 8,238.12 and 1,597.28 is: 2,395.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.84 : 8,238.12 = 1,597.28 : x
  2. Step 2: Convert to fraction form
    5,492.84/8,238.12 = 1,597.28/x
  3. Step 3: Cross multiply
    5,492.84x = 8,238.12 × 1,597.28
  4. Step 4: Simplify right side
    5,492.84x = 13,158,584.31
  5. Step 5: Solve for x
    x = 13,158,584.31/5,492.84
  6. Step 6: Final answer
    x = 2,395.59

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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.