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Finding the Fourth Proportional to 4,340.98, 6,513.29 and 2,698.91

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Solution

The fourth proportional to 4,340.98, 6,513.29 and 2,698.91 is: 4,049.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340.98 : 6,513.29 = 2,698.91 : x
  2. Step 2: Convert to fraction form
    4,340.98/6,513.29 = 2,698.91/x
  3. Step 3: Cross multiply
    4,340.98x = 6,513.29 × 2,698.91
  4. Step 4: Simplify right side
    4,340.98x = 17,578,783.51
  5. Step 5: Solve for x
    x = 17,578,783.51/4,340.98
  6. Step 6: Final answer
    x = 4,049.50

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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.