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Finding the Fourth Proportional to 4,340.58, 6,510.25 and 1,418.50

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Solution

The fourth proportional to 4,340.58, 6,510.25 and 1,418.50 is: 2,127.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340.58 : 6,510.25 = 1,418.50 : x
  2. Step 2: Convert to fraction form
    4,340.58/6,510.25 = 1,418.50/x
  3. Step 3: Cross multiply
    4,340.58x = 6,510.25 × 1,418.50
  4. Step 4: Simplify right side
    4,340.58x = 9,234,789.63
  5. Step 5: Solve for x
    x = 9,234,789.63/4,340.58
  6. Step 6: Final answer
    x = 2,127.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.