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Finding the Fourth Proportional to 4,785, 6,601.68 and 3,017.04

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Solution

The fourth proportional to 4,785, 6,601.68 and 3,017.04 is: 4,162.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,785 : 6,601.68 = 3,017.04 : x
  2. Step 2: Convert to fraction form
    4,785/6,601.68 = 3,017.04/x
  3. Step 3: Cross multiply
    4,785x = 6,601.68 × 3,017.04
  4. Step 4: Simplify right side
    4,785x = 19,917,532.63
  5. Step 5: Solve for x
    x = 19,917,532.63/4,785
  6. Step 6: Final answer
    x = 4,162.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.