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Finding the Fourth Proportional to 5,492, 7,568.88 and 5,074.40

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Solution

The fourth proportional to 5,492, 7,568.88 and 5,074.40 is: 6,993.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492 : 7,568.88 = 5,074.40 : x
  2. Step 2: Convert to fraction form
    5,492/7,568.88 = 5,074.40/x
  3. Step 3: Cross multiply
    5,492x = 7,568.88 × 5,074.40
  4. Step 4: Simplify right side
    5,492x = 38,407,524.67
  5. Step 5: Solve for x
    x = 38,407,524.67/5,492
  6. Step 6: Final answer
    x = 6,993.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.