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Finding the Fourth Proportional to 4,698.53, 7,048.10 and 1,578.41

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Solution

The fourth proportional to 4,698.53, 7,048.10 and 1,578.41 is: 2,367.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.53 : 7,048.10 = 1,578.41 : x
  2. Step 2: Convert to fraction form
    4,698.53/7,048.10 = 1,578.41/x
  3. Step 3: Cross multiply
    4,698.53x = 7,048.10 × 1,578.41
  4. Step 4: Simplify right side
    4,698.53x = 11,124,813.09
  5. Step 5: Solve for x
    x = 11,124,813.09/4,698.53
  6. Step 6: Final answer
    x = 2,367.72

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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.