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Finding the Fourth Proportional to 4,274.02, 6,400.14 and 3,617.92

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Solution

The fourth proportional to 4,274.02, 6,400.14 and 3,617.92 is: 5,417.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.02 : 6,400.14 = 3,617.92 : x
  2. Step 2: Convert to fraction form
    4,274.02/6,400.14 = 3,617.92/x
  3. Step 3: Cross multiply
    4,274.02x = 6,400.14 × 3,617.92
  4. Step 4: Simplify right side
    4,274.02x = 23,155,194.51
  5. Step 5: Solve for x
    x = 23,155,194.51/4,274.02
  6. Step 6: Final answer
    x = 5,417.66

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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.