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Finding the Fourth Proportional to 5,765.58, 8,646.48 and 2,302.02

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Solution

The fourth proportional to 5,765.58, 8,646.48 and 2,302.02 is: 3,452.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.58 : 8,646.48 = 2,302.02 : x
  2. Step 2: Convert to fraction form
    5,765.58/8,646.48 = 2,302.02/x
  3. Step 3: Cross multiply
    5,765.58x = 8,646.48 × 2,302.02
  4. Step 4: Simplify right side
    5,765.58x = 19,904,369.89
  5. Step 5: Solve for x
    x = 19,904,369.89/5,765.58
  6. Step 6: Final answer
    x = 3,452.28

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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.