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Finding the Fourth Proportional to 3,510.14, 4,843.82 and 1,937.93

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Solution

The fourth proportional to 3,510.14, 4,843.82 and 1,937.93 is: 2,674.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.14 : 4,843.82 = 1,937.93 : x
  2. Step 2: Convert to fraction form
    3,510.14/4,843.82 = 1,937.93/x
  3. Step 3: Cross multiply
    3,510.14x = 4,843.82 × 1,937.93
  4. Step 4: Simplify right side
    3,510.14x = 9,386,974.40
  5. Step 5: Solve for x
    x = 9,386,974.40/3,510.14
  6. Step 6: Final answer
    x = 2,674.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.