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Finding the Fourth Proportional to 4,137.85, 6,206.63 and 1,017.87

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Solution

The fourth proportional to 4,137.85, 6,206.63 and 1,017.87 is: 1,526.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.85 : 6,206.63 = 1,017.87 : x
  2. Step 2: Convert to fraction form
    4,137.85/6,206.63 = 1,017.87/x
  3. Step 3: Cross multiply
    4,137.85x = 6,206.63 × 1,017.87
  4. Step 4: Simplify right side
    4,137.85x = 6,317,514.11
  5. Step 5: Solve for x
    x = 6,317,514.11/4,137.85
  6. Step 6: Final answer
    x = 1,526.76

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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.