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Finding the Fourth Proportional to 4,207.88, 6,310.91 and 1,575.28

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Solution

The fourth proportional to 4,207.88, 6,310.91 and 1,575.28 is: 2,362.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207.88 : 6,310.91 = 1,575.28 : x
  2. Step 2: Convert to fraction form
    4,207.88/6,310.91 = 1,575.28/x
  3. Step 3: Cross multiply
    4,207.88x = 6,310.91 × 1,575.28
  4. Step 4: Simplify right side
    4,207.88x = 9,941,462.13
  5. Step 5: Solve for x
    x = 9,941,462.13/4,207.88
  6. Step 6: Final answer
    x = 2,362.58

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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.