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Finding the Fourth Proportional to 4,167.78, 6,251.07 and 1,570.14

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Solution

The fourth proportional to 4,167.78, 6,251.07 and 1,570.14 is: 2,354.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167.78 : 6,251.07 = 1,570.14 : x
  2. Step 2: Convert to fraction form
    4,167.78/6,251.07 = 1,570.14/x
  3. Step 3: Cross multiply
    4,167.78x = 6,251.07 × 1,570.14
  4. Step 4: Simplify right side
    4,167.78x = 9,815,055.05
  5. Step 5: Solve for x
    x = 9,815,055.05/4,167.78
  6. Step 6: Final answer
    x = 2,354.98

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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.