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Finding the Fourth Proportional to 4,465.87, 6,700.43 and 1,544.47

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Solution

The fourth proportional to 4,465.87, 6,700.43 and 1,544.47 is: 2,317.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,465.87 : 6,700.43 = 1,544.47 : x
  2. Step 2: Convert to fraction form
    4,465.87/6,700.43 = 1,544.47/x
  3. Step 3: Cross multiply
    4,465.87x = 6,700.43 × 1,544.47
  4. Step 4: Simplify right side
    4,465.87x = 10,348,613.12
  5. Step 5: Solve for x
    x = 10,348,613.12/4,465.87
  6. Step 6: Final answer
    x = 2,317.27

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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.