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Finding the Fourth Proportional to 3,692.66, 5,095.58 and 2,013.96

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Solution

The fourth proportional to 3,692.66, 5,095.58 and 2,013.96 is: 2,779.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.66 : 5,095.58 = 2,013.96 : x
  2. Step 2: Convert to fraction form
    3,692.66/5,095.58 = 2,013.96/x
  3. Step 3: Cross multiply
    3,692.66x = 5,095.58 × 2,013.96
  4. Step 4: Simplify right side
    3,692.66x = 10,262,303.34
  5. Step 5: Solve for x
    x = 10,262,303.34/3,692.66
  6. Step 6: Final answer
    x = 2,779.11

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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.