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Finding the Fourth Proportional to 3,859.01, 5,788.46 and 937.31

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Solution

The fourth proportional to 3,859.01, 5,788.46 and 937.31 is: 1,405.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.01 : 5,788.46 = 937.31 : x
  2. Step 2: Convert to fraction form
    3,859.01/5,788.46 = 937.31/x
  3. Step 3: Cross multiply
    3,859.01x = 5,788.46 × 937.31
  4. Step 4: Simplify right side
    3,859.01x = 5,425,547.81
  5. Step 5: Solve for x
    x = 5,425,547.81/3,859.01
  6. Step 6: Final answer
    x = 1,405.94

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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.