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Finding the Fourth Proportional to 3,918.34, 5,878.06 and 1,145.22

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Solution

The fourth proportional to 3,918.34, 5,878.06 and 1,145.22 is: 1,717.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918.34 : 5,878.06 = 1,145.22 : x
  2. Step 2: Convert to fraction form
    3,918.34/5,878.06 = 1,145.22/x
  3. Step 3: Cross multiply
    3,918.34x = 5,878.06 × 1,145.22
  4. Step 4: Simplify right side
    3,918.34x = 6,731,642.48
  5. Step 5: Solve for x
    x = 6,731,642.48/3,918.34
  6. Step 6: Final answer
    x = 1,717.98

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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.