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Finding the Fourth Proportional to 5,492.17, 7,578.70 and 3,253.65

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Solution

The fourth proportional to 5,492.17, 7,578.70 and 3,253.65 is: 4,489.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.17 : 7,578.70 = 3,253.65 : x
  2. Step 2: Convert to fraction form
    5,492.17/7,578.70 = 3,253.65/x
  3. Step 3: Cross multiply
    5,492.17x = 7,578.70 × 3,253.65
  4. Step 4: Simplify right side
    5,492.17x = 24,658,437.26
  5. Step 5: Solve for x
    x = 24,658,437.26/5,492.17
  6. Step 6: Final answer
    x = 4,489.74

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1.5x scale

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.