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Finding the Fourth Proportional to 5,744.22, 7,931.69 and 4,682.14

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Solution

The fourth proportional to 5,744.22, 7,931.69 and 4,682.14 is: 6,465.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.22 : 7,931.69 = 4,682.14 : x
  2. Step 2: Convert to fraction form
    5,744.22/7,931.69 = 4,682.14/x
  3. Step 3: Cross multiply
    5,744.22x = 7,931.69 × 4,682.14
  4. Step 4: Simplify right side
    5,744.22x = 37,137,283.02
  5. Step 5: Solve for x
    x = 37,137,283.02/5,744.22
  6. Step 6: Final answer
    x = 6,465.16

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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.