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Finding the Fourth Proportional to 3,153.93, 4,726.87 and 1,398.43

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Solution

The fourth proportional to 3,153.93, 4,726.87 and 1,398.43 is: 2,095.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.93 : 4,726.87 = 1,398.43 : x
  2. Step 2: Convert to fraction form
    3,153.93/4,726.87 = 1,398.43/x
  3. Step 3: Cross multiply
    3,153.93x = 4,726.87 × 1,398.43
  4. Step 4: Simplify right side
    3,153.93x = 6,610,196.81
  5. Step 5: Solve for x
    x = 6,610,196.81/3,153.93
  6. Step 6: Final answer
    x = 2,095.86

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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.