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Finding the Fourth Proportional to 4,220.76, 5,824.26 and 2,646.12

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Solution

The fourth proportional to 4,220.76, 5,824.26 and 2,646.12 is: 3,651.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,220.76 : 5,824.26 = 2,646.12 : x
  2. Step 2: Convert to fraction form
    4,220.76/5,824.26 = 2,646.12/x
  3. Step 3: Cross multiply
    4,220.76x = 5,824.26 × 2,646.12
  4. Step 4: Simplify right side
    4,220.76x = 15,411,690.87
  5. Step 5: Solve for x
    x = 15,411,690.87/4,220.76
  6. Step 6: Final answer
    x = 3,651.40

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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.