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Finding the Fourth Proportional to 3,977.51, 5,966.40 and 1,056.11

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Solution

The fourth proportional to 3,977.51, 5,966.40 and 1,056.11 is: 1,584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.51 : 5,966.40 = 1,056.11 : x
  2. Step 2: Convert to fraction form
    3,977.51/5,966.40 = 1,056.11/x
  3. Step 3: Cross multiply
    3,977.51x = 5,966.40 × 1,056.11
  4. Step 4: Simplify right side
    3,977.51x = 6,301,174.70
  5. Step 5: Solve for x
    x = 6,301,174.70/3,977.51
  6. Step 6: Final answer
    x = 1,584.20

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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.