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Finding the Fourth Proportional to 4,339.81, 6,509.73 and 1,742.14

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Solution

The fourth proportional to 4,339.81, 6,509.73 and 1,742.14 is: 2,613.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,339.81 : 6,509.73 = 1,742.14 : x
  2. Step 2: Convert to fraction form
    4,339.81/6,509.73 = 1,742.14/x
  3. Step 3: Cross multiply
    4,339.81x = 6,509.73 × 1,742.14
  4. Step 4: Simplify right side
    4,339.81x = 11,340,861.02
  5. Step 5: Solve for x
    x = 11,340,861.02/4,339.81
  6. Step 6: Final answer
    x = 2,613.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.