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Finding the Fourth Proportional to 4,643.64, 6,965.51 and 3,717.99

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Solution

The fourth proportional to 4,643.64, 6,965.51 and 3,717.99 is: 5,577.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.64 : 6,965.51 = 3,717.99 : x
  2. Step 2: Convert to fraction form
    4,643.64/6,965.51 = 3,717.99/x
  3. Step 3: Cross multiply
    4,643.64x = 6,965.51 × 3,717.99
  4. Step 4: Simplify right side
    4,643.64x = 25,897,677.93
  5. Step 5: Solve for x
    x = 25,897,677.93/4,643.64
  6. Step 6: Final answer
    x = 5,577.02

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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.