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Finding the Fourth Proportional to 3,137.09, 4,707.72 and 1,405.71

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Solution

The fourth proportional to 3,137.09, 4,707.72 and 1,405.71 is: 2,109.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.09 : 4,707.72 = 1,405.71 : x
  2. Step 2: Convert to fraction form
    3,137.09/4,707.72 = 1,405.71/x
  3. Step 3: Cross multiply
    3,137.09x = 4,707.72 × 1,405.71
  4. Step 4: Simplify right side
    3,137.09x = 6,617,689.08
  5. Step 5: Solve for x
    x = 6,617,689.08/3,137.09
  6. Step 6: Final answer
    x = 2,109.50

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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.