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Finding the Fourth Proportional to 3,901.58, 5,852.40 and 1,561.78

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Solution

The fourth proportional to 3,901.58, 5,852.40 and 1,561.78 is: 2,342.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.58 : 5,852.40 = 1,561.78 : x
  2. Step 2: Convert to fraction form
    3,901.58/5,852.40 = 1,561.78/x
  3. Step 3: Cross multiply
    3,901.58x = 5,852.40 × 1,561.78
  4. Step 4: Simplify right side
    3,901.58x = 9,140,161.27
  5. Step 5: Solve for x
    x = 9,140,161.27/3,901.58
  6. Step 6: Final answer
    x = 2,342.68

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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.