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Finding the Fourth Proportional to 5,301.88, 7,949.16 and 3,547.48

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Solution

The fourth proportional to 5,301.88, 7,949.16 and 3,547.48 is: 5,318.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.88 : 7,949.16 = 3,547.48 : x
  2. Step 2: Convert to fraction form
    5,301.88/7,949.16 = 3,547.48/x
  3. Step 3: Cross multiply
    5,301.88x = 7,949.16 × 3,547.48
  4. Step 4: Simplify right side
    5,301.88x = 28,199,486.12
  5. Step 5: Solve for x
    x = 28,199,486.12/5,301.88
  6. Step 6: Final answer
    x = 5,318.77

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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.