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Finding the Fourth Proportional to 3,987.18, 5,980.30 and 1,065.71

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Solution

The fourth proportional to 3,987.18, 5,980.30 and 1,065.71 is: 1,598.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.18 : 5,980.30 = 1,065.71 : x
  2. Step 2: Convert to fraction form
    3,987.18/5,980.30 = 1,065.71/x
  3. Step 3: Cross multiply
    3,987.18x = 5,980.30 × 1,065.71
  4. Step 4: Simplify right side
    3,987.18x = 6,373,265.51
  5. Step 5: Solve for x
    x = 6,373,265.51/3,987.18
  6. Step 6: Final answer
    x = 1,598.44

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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.