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Finding the Fourth Proportional to 3,117.47, 4,674.83 and 1,168.31

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Solution

The fourth proportional to 3,117.47, 4,674.83 and 1,168.31 is: 1,751.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.47 : 4,674.83 = 1,168.31 : x
  2. Step 2: Convert to fraction form
    3,117.47/4,674.83 = 1,168.31/x
  3. Step 3: Cross multiply
    3,117.47x = 4,674.83 × 1,168.31
  4. Step 4: Simplify right side
    3,117.47x = 5,461,650.64
  5. Step 5: Solve for x
    x = 5,461,650.64/3,117.47
  6. Step 6: Final answer
    x = 1,751.95

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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.