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Finding the Fourth Proportional to 3,441.47, 5,161.64 and 975.74

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Solution

The fourth proportional to 3,441.47, 5,161.64 and 975.74 is: 1,463.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.47 : 5,161.64 = 975.74 : x
  2. Step 2: Convert to fraction form
    3,441.47/5,161.64 = 975.74/x
  3. Step 3: Cross multiply
    3,441.47x = 5,161.64 × 975.74
  4. Step 4: Simplify right side
    3,441.47x = 5,036,387.93
  5. Step 5: Solve for x
    x = 5,036,387.93/3,441.47
  6. Step 6: Final answer
    x = 1,463.44

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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.