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Finding the Fourth Proportional to 3,866.58, 5,800.95 and 1,401.30

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Solution

The fourth proportional to 3,866.58, 5,800.95 and 1,401.30 is: 2,102.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.58 : 5,800.95 = 1,401.30 : x
  2. Step 2: Convert to fraction form
    3,866.58/5,800.95 = 1,401.30/x
  3. Step 3: Cross multiply
    3,866.58x = 5,800.95 × 1,401.30
  4. Step 4: Simplify right side
    3,866.58x = 8,128,871.24
  5. Step 5: Solve for x
    x = 8,128,871.24/3,866.58
  6. Step 6: Final answer
    x = 2,102.34

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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.