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Finding the Fourth Proportional to 4,641.84, 6,953.04 and 2,692.98

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Solution

The fourth proportional to 4,641.84, 6,953.04 and 2,692.98 is: 4,033.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.84 : 6,953.04 = 2,692.98 : x
  2. Step 2: Convert to fraction form
    4,641.84/6,953.04 = 2,692.98/x
  3. Step 3: Cross multiply
    4,641.84x = 6,953.04 × 2,692.98
  4. Step 4: Simplify right side
    4,641.84x = 18,724,397.66
  5. Step 5: Solve for x
    x = 18,724,397.66/4,641.84
  6. Step 6: Final answer
    x = 4,033.83

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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.