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Finding the Fourth Proportional to 5,763.48, 8,647.38 and 2,301

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Solution

The fourth proportional to 5,763.48, 8,647.38 and 2,301 is: 3,452.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.48 : 8,647.38 = 2,301 : x
  2. Step 2: Convert to fraction form
    5,763.48/8,647.38 = 2,301/x
  3. Step 3: Cross multiply
    5,763.48x = 8,647.38 × 2,301
  4. Step 4: Simplify right side
    5,763.48x = 19,897,621.38
  5. Step 5: Solve for x
    x = 19,897,621.38/5,763.48
  6. Step 6: Final answer
    x = 3,452.36

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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.