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Finding the Fourth Proportional to 5,291.64, 7,302.69 and 3,522.06

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Solution

The fourth proportional to 5,291.64, 7,302.69 and 3,522.06 is: 4,860.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.64 : 7,302.69 = 3,522.06 : x
  2. Step 2: Convert to fraction form
    5,291.64/7,302.69 = 3,522.06/x
  3. Step 3: Cross multiply
    5,291.64x = 7,302.69 × 3,522.06
  4. Step 4: Simplify right side
    5,291.64x = 25,720,512.34
  5. Step 5: Solve for x
    x = 25,720,512.34/5,291.64
  6. Step 6: Final answer
    x = 4,860.59

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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.