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Finding the Fourth Proportional to 3,763.80, 5,641.65 and 2,303.91

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Solution

The fourth proportional to 3,763.80, 5,641.65 and 2,303.91 is: 3,453.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.80 : 5,641.65 = 2,303.91 : x
  2. Step 2: Convert to fraction form
    3,763.80/5,641.65 = 2,303.91/x
  3. Step 3: Cross multiply
    3,763.80x = 5,641.65 × 2,303.91
  4. Step 4: Simplify right side
    3,763.80x = 12,997,853.85
  5. Step 5: Solve for x
    x = 12,997,853.85/3,763.80
  6. Step 6: Final answer
    x = 3,453.39

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