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Finding the Fourth Proportional to 4,246, 5,859.83 and 2,357.70

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Solution

The fourth proportional to 4,246, 5,859.83 and 2,357.70 is: 3,253.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,246 : 5,859.83 = 2,357.70 : x
  2. Step 2: Convert to fraction form
    4,246/5,859.83 = 2,357.70/x
  3. Step 3: Cross multiply
    4,246x = 5,859.83 × 2,357.70
  4. Step 4: Simplify right side
    4,246x = 13,815,721.19
  5. Step 5: Solve for x
    x = 13,815,721.19/4,246
  6. Step 6: Final answer
    x = 3,253.82

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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.