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Finding the Fourth Proportional to 3,497.65, 4,827.57 and 2,005.54

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Solution

The fourth proportional to 3,497.65, 4,827.57 and 2,005.54 is: 2,768.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.65 : 4,827.57 = 2,005.54 : x
  2. Step 2: Convert to fraction form
    3,497.65/4,827.57 = 2,005.54/x
  3. Step 3: Cross multiply
    3,497.65x = 4,827.57 × 2,005.54
  4. Step 4: Simplify right side
    3,497.65x = 9,681,884.74
  5. Step 5: Solve for x
    x = 9,681,884.74/3,497.65
  6. Step 6: Final answer
    x = 2,768.11

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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.