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Finding the Fourth Proportional to 3,315.35, 4,973.01 and 1,578.71

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Solution

The fourth proportional to 3,315.35, 4,973.01 and 1,578.71 is: 2,368.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315.35 : 4,973.01 = 1,578.71 : x
  2. Step 2: Convert to fraction form
    3,315.35/4,973.01 = 1,578.71/x
  3. Step 3: Cross multiply
    3,315.35x = 4,973.01 × 1,578.71
  4. Step 4: Simplify right side
    3,315.35x = 7,850,940.62
  5. Step 5: Solve for x
    x = 7,850,940.62/3,315.35
  6. Step 6: Final answer
    x = 2,368.06

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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.