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Finding the Fourth Proportional to 4,139.81, 6,210.27 and 1,506.97

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Solution

The fourth proportional to 4,139.81, 6,210.27 and 1,506.97 is: 2,260.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,139.81 : 6,210.27 = 1,506.97 : x
  2. Step 2: Convert to fraction form
    4,139.81/6,210.27 = 1,506.97/x
  3. Step 3: Cross multiply
    4,139.81x = 6,210.27 × 1,506.97
  4. Step 4: Simplify right side
    4,139.81x = 9,358,698.34
  5. Step 5: Solve for x
    x = 9,358,698.34/4,139.81
  6. Step 6: Final answer
    x = 2,260.66

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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.