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Finding the Fourth Proportional to 3,325.12, 4,987.63 and 859.74

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Solution

The fourth proportional to 3,325.12, 4,987.63 and 859.74 is: 1,289.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,325.12 : 4,987.63 = 859.74 : x
  2. Step 2: Convert to fraction form
    3,325.12/4,987.63 = 859.74/x
  3. Step 3: Cross multiply
    3,325.12x = 4,987.63 × 859.74
  4. Step 4: Simplify right side
    3,325.12x = 4,288,065.02
  5. Step 5: Solve for x
    x = 4,288,065.02/3,325.12
  6. Step 6: Final answer
    x = 1,289.60

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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.