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Finding the Fourth Proportional to 4,866.43, 7,300.55 and 1,578.64

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Solution

The fourth proportional to 4,866.43, 7,300.55 and 1,578.64 is: 2,368.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.43 : 7,300.55 = 1,578.64 : x
  2. Step 2: Convert to fraction form
    4,866.43/7,300.55 = 1,578.64/x
  3. Step 3: Cross multiply
    4,866.43x = 7,300.55 × 1,578.64
  4. Step 4: Simplify right side
    4,866.43x = 11,524,895.86
  5. Step 5: Solve for x
    x = 11,524,895.86/4,866.43
  6. Step 6: Final answer
    x = 2,368.25

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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.