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Finding the Fourth Proportional to 5,784.39, 7,985.88 and 3,798.42

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Solution

The fourth proportional to 5,784.39, 7,985.88 and 3,798.42 is: 5,244.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.39 : 7,985.88 = 3,798.42 : x
  2. Step 2: Convert to fraction form
    5,784.39/7,985.88 = 3,798.42/x
  3. Step 3: Cross multiply
    5,784.39x = 7,985.88 × 3,798.42
  4. Step 4: Simplify right side
    5,784.39x = 30,333,726.31
  5. Step 5: Solve for x
    x = 30,333,726.31/5,784.39
  6. Step 6: Final answer
    x = 5,244.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.