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Finding the Fourth Proportional to 5,537.44, 8,290.78 and 4,307.25

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Solution

The fourth proportional to 5,537.44, 8,290.78 and 4,307.25 is: 6,448.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.44 : 8,290.78 = 4,307.25 : x
  2. Step 2: Convert to fraction form
    5,537.44/8,290.78 = 4,307.25/x
  3. Step 3: Cross multiply
    5,537.44x = 8,290.78 × 4,307.25
  4. Step 4: Simplify right side
    5,537.44x = 35,710,471.27
  5. Step 5: Solve for x
    x = 35,710,471.27/5,537.44
  6. Step 6: Final answer
    x = 6,448.92

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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.