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Finding the Fourth Proportional to 4,266.64, 5,885.76 and 2,564.20

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Solution

The fourth proportional to 4,266.64, 5,885.76 and 2,564.20 is: 3,537.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.64 : 5,885.76 = 2,564.20 : x
  2. Step 2: Convert to fraction form
    4,266.64/5,885.76 = 2,564.20/x
  3. Step 3: Cross multiply
    4,266.64x = 5,885.76 × 2,564.20
  4. Step 4: Simplify right side
    4,266.64x = 15,092,265.79
  5. Step 5: Solve for x
    x = 15,092,265.79/4,266.64
  6. Step 6: Final answer
    x = 3,537.27

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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.