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Finding the Fourth Proportional to 4,722.84, 6,502.65 and 4,285.44

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Solution

The fourth proportional to 4,722.84, 6,502.65 and 4,285.44 is: 5,900.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,722.84 : 6,502.65 = 4,285.44 : x
  2. Step 2: Convert to fraction form
    4,722.84/6,502.65 = 4,285.44/x
  3. Step 3: Cross multiply
    4,722.84x = 6,502.65 × 4,285.44
  4. Step 4: Simplify right side
    4,722.84x = 27,866,716.42
  5. Step 5: Solve for x
    x = 27,866,716.42/4,722.84
  6. Step 6: Final answer
    x = 5,900.42

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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.