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Finding the Fourth Proportional to 4,991.40, 6,885.54 and 4,058.28

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Solution

The fourth proportional to 4,991.40, 6,885.54 and 4,058.28 is: 5,598.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,991.40 : 6,885.54 = 4,058.28 : x
  2. Step 2: Convert to fraction form
    4,991.40/6,885.54 = 4,058.28/x
  3. Step 3: Cross multiply
    4,991.40x = 6,885.54 × 4,058.28
  4. Step 4: Simplify right side
    4,991.40x = 27,943,449.27
  5. Step 5: Solve for x
    x = 27,943,449.27/4,991.40
  6. Step 6: Final answer
    x = 5,598.32

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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.