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Finding the Fourth Proportional to 2,920.88, 4,387.80 and 2,828.72

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Solution

The fourth proportional to 2,920.88, 4,387.80 and 2,828.72 is: 4,249.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.88 : 4,387.80 = 2,828.72 : x
  2. Step 2: Convert to fraction form
    2,920.88/4,387.80 = 2,828.72/x
  3. Step 3: Cross multiply
    2,920.88x = 4,387.80 × 2,828.72
  4. Step 4: Simplify right side
    2,920.88x = 12,411,857.62
  5. Step 5: Solve for x
    x = 12,411,857.62/2,920.88
  6. Step 6: Final answer
    x = 4,249.36

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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.