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Finding the Fourth Proportional to 3,901.88, 5,852.81 and 1,562.93

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Solution

The fourth proportional to 3,901.88, 5,852.81 and 1,562.93 is: 2,344.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.88 : 5,852.81 = 1,562.93 : x
  2. Step 2: Convert to fraction form
    3,901.88/5,852.81 = 1,562.93/x
  3. Step 3: Cross multiply
    3,901.88x = 5,852.81 × 1,562.93
  4. Step 4: Simplify right side
    3,901.88x = 9,147,550.87
  5. Step 5: Solve for x
    x = 9,147,550.87/3,901.88
  6. Step 6: Final answer
    x = 2,344.40

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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.