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Finding the Fourth Proportional to 3,522.24, 4,829.16 and 3,460.26

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Solution

The fourth proportional to 3,522.24, 4,829.16 and 3,460.26 is: 4,744.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.24 : 4,829.16 = 3,460.26 : x
  2. Step 2: Convert to fraction form
    3,522.24/4,829.16 = 3,460.26/x
  3. Step 3: Cross multiply
    3,522.24x = 4,829.16 × 3,460.26
  4. Step 4: Simplify right side
    3,522.24x = 16,710,149.18
  5. Step 5: Solve for x
    x = 16,710,149.18/3,522.24
  6. Step 6: Final answer
    x = 4,744.18

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.