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Finding the Fourth Proportional to 5,577.31, 7,700.03 and 3,484.27

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Solution

The fourth proportional to 5,577.31, 7,700.03 and 3,484.27 is: 4,810.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.31 : 7,700.03 = 3,484.27 : x
  2. Step 2: Convert to fraction form
    5,577.31/7,700.03 = 3,484.27/x
  3. Step 3: Cross multiply
    5,577.31x = 7,700.03 × 3,484.27
  4. Step 4: Simplify right side
    5,577.31x = 26,828,983.53
  5. Step 5: Solve for x
    x = 26,828,983.53/5,577.31
  6. Step 6: Final answer
    x = 4,810.38

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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.