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Finding the Fourth Proportional to 4,242.71, 5,855.22 and 2,564.06

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Solution

The fourth proportional to 4,242.71, 5,855.22 and 2,564.06 is: 3,538.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.71 : 5,855.22 = 2,564.06 : x
  2. Step 2: Convert to fraction form
    4,242.71/5,855.22 = 2,564.06/x
  3. Step 3: Cross multiply
    4,242.71x = 5,855.22 × 2,564.06
  4. Step 4: Simplify right side
    4,242.71x = 15,013,106.12
  5. Step 5: Solve for x
    x = 15,013,106.12/4,242.71
  6. Step 6: Final answer
    x = 3,538.56

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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.