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Finding the Fourth Proportional to 4,452.35, 6,144.69 and 2,564.00

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Solution

The fourth proportional to 4,452.35, 6,144.69 and 2,564.00 is: 3,538.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,452.35 : 6,144.69 = 2,564.00 : x
  2. Step 2: Convert to fraction form
    4,452.35/6,144.69 = 2,564.00/x
  3. Step 3: Cross multiply
    4,452.35x = 6,144.69 × 2,564.00
  4. Step 4: Simplify right side
    4,452.35x = 15,754,987.09
  5. Step 5: Solve for x
    x = 15,754,987.09/4,452.35
  6. Step 6: Final answer
    x = 3,538.58

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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.