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Finding the Fourth Proportional to 4,991.29, 7,442.90 and 4,746.03

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Solution

The fourth proportional to 4,991.29, 7,442.90 and 4,746.03 is: 7,077.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,991.29 : 7,442.90 = 4,746.03 : x
  2. Step 2: Convert to fraction form
    4,991.29/7,442.90 = 4,746.03/x
  3. Step 3: Cross multiply
    4,991.29x = 7,442.90 × 4,746.03
  4. Step 4: Simplify right side
    4,991.29x = 35,324,189.47
  5. Step 5: Solve for x
    x = 35,324,189.47/4,991.29
  6. Step 6: Final answer
    x = 7,077.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.