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Finding the Fourth Proportional to 4,689.79, 6,465.90 and 3,008.14

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Solution

The fourth proportional to 4,689.79, 6,465.90 and 3,008.14 is: 4,147.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.79 : 6,465.90 = 3,008.14 : x
  2. Step 2: Convert to fraction form
    4,689.79/6,465.90 = 3,008.14/x
  3. Step 3: Cross multiply
    4,689.79x = 6,465.90 × 3,008.14
  4. Step 4: Simplify right side
    4,689.79x = 19,450,332.43
  5. Step 5: Solve for x
    x = 19,450,332.43/4,689.79
  6. Step 6: Final answer
    x = 4,147.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.