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Finding the Fourth Proportional to 4,139.40, 6,213 and 1,509.45

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Solution

The fourth proportional to 4,139.40, 6,213 and 1,509.45 is: 2,265.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,139.40 : 6,213 = 1,509.45 : x
  2. Step 2: Convert to fraction form
    4,139.40/6,213 = 1,509.45/x
  3. Step 3: Cross multiply
    4,139.40x = 6,213 × 1,509.45
  4. Step 4: Simplify right side
    4,139.40x = 9,378,212.85
  5. Step 5: Solve for x
    x = 9,378,212.85/4,139.40
  6. Step 6: Final answer
    x = 2,265.60

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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.