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Finding the Fourth Proportional to 5,977.12, 8,975.40 and 5,931.76

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Solution

The fourth proportional to 5,977.12, 8,975.40 and 5,931.76 is: 8,907.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.12 : 8,975.40 = 5,931.76 : x
  2. Step 2: Convert to fraction form
    5,977.12/8,975.40 = 5,931.76/x
  3. Step 3: Cross multiply
    5,977.12x = 8,975.40 × 5,931.76
  4. Step 4: Simplify right side
    5,977.12x = 53,239,918.70
  5. Step 5: Solve for x
    x = 53,239,918.70/5,977.12
  6. Step 6: Final answer
    x = 8,907.29

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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.