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Finding the Fourth Proportional to 3,820.47, 5,731.60 and 1,187.84

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Solution

The fourth proportional to 3,820.47, 5,731.60 and 1,187.84 is: 1,782.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.47 : 5,731.60 = 1,187.84 : x
  2. Step 2: Convert to fraction form
    3,820.47/5,731.60 = 1,187.84/x
  3. Step 3: Cross multiply
    3,820.47x = 5,731.60 × 1,187.84
  4. Step 4: Simplify right side
    3,820.47x = 6,808,223.74
  5. Step 5: Solve for x
    x = 6,808,223.74/3,820.47
  6. Step 6: Final answer
    x = 1,782.04

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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.