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Finding the Fourth Proportional to 3,547.88, 5,326.52 and 3,031.20

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Solution

The fourth proportional to 3,547.88, 5,326.52 and 3,031.20 is: 4,550.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.88 : 5,326.52 = 3,031.20 : x
  2. Step 2: Convert to fraction form
    3,547.88/5,326.52 = 3,031.20/x
  3. Step 3: Cross multiply
    3,547.88x = 5,326.52 × 3,031.20
  4. Step 4: Simplify right side
    3,547.88x = 16,145,728.37
  5. Step 5: Solve for x
    x = 16,145,728.37/3,547.88
  6. Step 6: Final answer
    x = 4,550.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.