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Finding the Fourth Proportional to 3,758.48, 5,637.36 and 1,161.44

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Solution

The fourth proportional to 3,758.48, 5,637.36 and 1,161.44 is: 1,742.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.48 : 5,637.36 = 1,161.44 : x
  2. Step 2: Convert to fraction form
    3,758.48/5,637.36 = 1,161.44/x
  3. Step 3: Cross multiply
    3,758.48x = 5,637.36 × 1,161.44
  4. Step 4: Simplify right side
    3,758.48x = 6,547,455.40
  5. Step 5: Solve for x
    x = 6,547,455.40/3,758.48
  6. Step 6: Final answer
    x = 1,742.05

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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.