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Finding the Fourth Proportional to 4,332.80, 6,486.40 and 3,820.80

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Solution

The fourth proportional to 4,332.80, 6,486.40 and 3,820.80 is: 5,719.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,332.80 : 6,486.40 = 3,820.80 : x
  2. Step 2: Convert to fraction form
    4,332.80/6,486.40 = 3,820.80/x
  3. Step 3: Cross multiply
    4,332.80x = 6,486.40 × 3,820.80
  4. Step 4: Simplify right side
    4,332.80x = 24,783,237.12
  5. Step 5: Solve for x
    x = 24,783,237.12/4,332.80
  6. Step 6: Final answer
    x = 5,719.91

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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.