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Finding the Fourth Proportional to 6,449.84, 8,918.64 and 5,121.20

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Solution

The fourth proportional to 6,449.84, 8,918.64 and 5,121.20 is: 7,081.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.84 : 8,918.64 = 5,121.20 : x
  2. Step 2: Convert to fraction form
    6,449.84/8,918.64 = 5,121.20/x
  3. Step 3: Cross multiply
    6,449.84x = 8,918.64 × 5,121.20
  4. Step 4: Simplify right side
    6,449.84x = 45,674,139.17
  5. Step 5: Solve for x
    x = 45,674,139.17/6,449.84
  6. Step 6: Final answer
    x = 7,081.44

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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.