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Finding the Fourth Proportional to 4,339.77, 6,509.95 and 1,742.71

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Solution

The fourth proportional to 4,339.77, 6,509.95 and 1,742.71 is: 2,614.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,339.77 : 6,509.95 = 1,742.71 : x
  2. Step 2: Convert to fraction form
    4,339.77/6,509.95 = 1,742.71/x
  3. Step 3: Cross multiply
    4,339.77x = 6,509.95 × 1,742.71
  4. Step 4: Simplify right side
    4,339.77x = 11,344,922.41
  5. Step 5: Solve for x
    x = 11,344,922.41/4,339.77
  6. Step 6: Final answer
    x = 2,614.18

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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.