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Finding the Fourth Proportional to 4,594.68, 6,340.70 and 2,498.80

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Solution

The fourth proportional to 4,594.68, 6,340.70 and 2,498.80 is: 3,448.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594.68 : 6,340.70 = 2,498.80 : x
  2. Step 2: Convert to fraction form
    4,594.68/6,340.70 = 2,498.80/x
  3. Step 3: Cross multiply
    4,594.68x = 6,340.70 × 2,498.80
  4. Step 4: Simplify right side
    4,594.68x = 15,844,141.16
  5. Step 5: Solve for x
    x = 15,844,141.16/4,594.68
  6. Step 6: Final answer
    x = 3,448.37

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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.