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Finding the Fourth Proportional to 5,249.91, 7,242.53 and 3,547.88

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Solution

The fourth proportional to 5,249.91, 7,242.53 and 3,547.88 is: 4,894.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.91 : 7,242.53 = 3,547.88 : x
  2. Step 2: Convert to fraction form
    5,249.91/7,242.53 = 3,547.88/x
  3. Step 3: Cross multiply
    5,249.91x = 7,242.53 × 3,547.88
  4. Step 4: Simplify right side
    5,249.91x = 25,695,599.99
  5. Step 5: Solve for x
    x = 25,695,599.99/5,249.91
  6. Step 6: Final answer
    x = 4,894.48

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