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Finding the Fourth Proportional to 3,117.99, 4,673.95 and 1,143.06

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Solution

The fourth proportional to 3,117.99, 4,673.95 and 1,143.06 is: 1,713.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.99 : 4,673.95 = 1,143.06 : x
  2. Step 2: Convert to fraction form
    3,117.99/4,673.95 = 1,143.06/x
  3. Step 3: Cross multiply
    3,117.99x = 4,673.95 × 1,143.06
  4. Step 4: Simplify right side
    3,117.99x = 5,342,617.62
  5. Step 5: Solve for x
    x = 5,342,617.62/3,117.99
  6. Step 6: Final answer
    x = 1,713.48

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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.