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Finding the Fourth Proportional to 3,844.67, 5,303.57 and 2,570.74

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Solution

The fourth proportional to 3,844.67, 5,303.57 and 2,570.74 is: 3,546.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.67 : 5,303.57 = 2,570.74 : x
  2. Step 2: Convert to fraction form
    3,844.67/5,303.57 = 2,570.74/x
  3. Step 3: Cross multiply
    3,844.67x = 5,303.57 × 2,570.74
  4. Step 4: Simplify right side
    3,844.67x = 13,634,073.43
  5. Step 5: Solve for x
    x = 13,634,073.43/3,844.67
  6. Step 6: Final answer
    x = 3,546.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.