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Finding the Fourth Proportional to 5,291.22, 7,302.69 and 3,052.64

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Solution

The fourth proportional to 5,291.22, 7,302.69 and 3,052.64 is: 4,213.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.22 : 7,302.69 = 3,052.64 : x
  2. Step 2: Convert to fraction form
    5,291.22/7,302.69 = 3,052.64/x
  3. Step 3: Cross multiply
    5,291.22x = 7,302.69 × 3,052.64
  4. Step 4: Simplify right side
    5,291.22x = 22,292,460.78
  5. Step 5: Solve for x
    x = 22,292,460.78/5,291.22
  6. Step 6: Final answer
    x = 4,213.10

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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.