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Finding the Fourth Proportional to 4,166.02, 6,245.37 and 1,570.78

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Solution

The fourth proportional to 4,166.02, 6,245.37 and 1,570.78 is: 2,354.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.02 : 6,245.37 = 1,570.78 : x
  2. Step 2: Convert to fraction form
    4,166.02/6,245.37 = 1,570.78/x
  3. Step 3: Cross multiply
    4,166.02x = 6,245.37 × 1,570.78
  4. Step 4: Simplify right side
    4,166.02x = 9,810,102.29
  5. Step 5: Solve for x
    x = 9,810,102.29/4,166.02
  6. Step 6: Final answer
    x = 2,354.79

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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.