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Finding the Fourth Proportional to 4,187.59, 6,281.22 and 1,265.81

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Solution

The fourth proportional to 4,187.59, 6,281.22 and 1,265.81 is: 1,898.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187.59 : 6,281.22 = 1,265.81 : x
  2. Step 2: Convert to fraction form
    4,187.59/6,281.22 = 1,265.81/x
  3. Step 3: Cross multiply
    4,187.59x = 6,281.22 × 1,265.81
  4. Step 4: Simplify right side
    4,187.59x = 7,950,831.09
  5. Step 5: Solve for x
    x = 7,950,831.09/4,187.59
  6. Step 6: Final answer
    x = 1,898.67

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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.