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Finding the Fourth Proportional to 5,495.13, 7,583.28 and 2,977.26

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Solution

The fourth proportional to 5,495.13, 7,583.28 and 2,977.26 is: 4,108.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,495.13 : 7,583.28 = 2,977.26 : x
  2. Step 2: Convert to fraction form
    5,495.13/7,583.28 = 2,977.26/x
  3. Step 3: Cross multiply
    5,495.13x = 7,583.28 × 2,977.26
  4. Step 4: Simplify right side
    5,495.13x = 22,577,407.38
  5. Step 5: Solve for x
    x = 22,577,407.38/5,495.13
  6. Step 6: Final answer
    x = 4,108.62

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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.