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Finding the Fourth Proportional to 4,569.84, 6,849.36 and 2,486.88

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Solution

The fourth proportional to 4,569.84, 6,849.36 and 2,486.88 is: 3,727.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569.84 : 6,849.36 = 2,486.88 : x
  2. Step 2: Convert to fraction form
    4,569.84/6,849.36 = 2,486.88/x
  3. Step 3: Cross multiply
    4,569.84x = 6,849.36 × 2,486.88
  4. Step 4: Simplify right side
    4,569.84x = 17,033,536.40
  5. Step 5: Solve for x
    x = 17,033,536.40/4,569.84
  6. Step 6: Final answer
    x = 3,727.38

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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.