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Finding the Fourth Proportional to 3,547.98, 5,319.32 and 2,449.22

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Solution

The fourth proportional to 3,547.98, 5,319.32 and 2,449.22 is: 3,672.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.98 : 5,319.32 = 2,449.22 : x
  2. Step 2: Convert to fraction form
    3,547.98/5,319.32 = 2,449.22/x
  3. Step 3: Cross multiply
    3,547.98x = 5,319.32 × 2,449.22
  4. Step 4: Simplify right side
    3,547.98x = 13,028,184.93
  5. Step 5: Solve for x
    x = 13,028,184.93/3,547.98
  6. Step 6: Final answer
    x = 3,672.00

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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.