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Finding the Fourth Proportional to 4,655.14, 6,983.52 and 2,465.71

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Solution

The fourth proportional to 4,655.14, 6,983.52 and 2,465.71 is: 3,698.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.14 : 6,983.52 = 2,465.71 : x
  2. Step 2: Convert to fraction form
    4,655.14/6,983.52 = 2,465.71/x
  3. Step 3: Cross multiply
    4,655.14x = 6,983.52 × 2,465.71
  4. Step 4: Simplify right side
    4,655.14x = 17,219,335.10
  5. Step 5: Solve for x
    x = 17,219,335.10/4,655.14
  6. Step 6: Final answer
    x = 3,698.99

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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.