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Finding the Fourth Proportional to 4,692.61, 7,040.10 and 1,405.69

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Solution

The fourth proportional to 4,692.61, 7,040.10 and 1,405.69 is: 2,108.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.61 : 7,040.10 = 1,405.69 : x
  2. Step 2: Convert to fraction form
    4,692.61/7,040.10 = 1,405.69/x
  3. Step 3: Cross multiply
    4,692.61x = 7,040.10 × 1,405.69
  4. Step 4: Simplify right side
    4,692.61x = 9,896,198.17
  5. Step 5: Solve for x
    x = 9,896,198.17/4,692.61
  6. Step 6: Final answer
    x = 2,108.89

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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.