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Finding the Fourth Proportional to 3,159.21, 4,740.93 and 1,107.21

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Solution

The fourth proportional to 3,159.21, 4,740.93 and 1,107.21 is: 1,661.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.21 : 4,740.93 = 1,107.21 : x
  2. Step 2: Convert to fraction form
    3,159.21/4,740.93 = 1,107.21/x
  3. Step 3: Cross multiply
    3,159.21x = 4,740.93 × 1,107.21
  4. Step 4: Simplify right side
    3,159.21x = 5,249,205.11
  5. Step 5: Solve for x
    x = 5,249,205.11/3,159.21
  6. Step 6: Final answer
    x = 1,661.56

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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.