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Finding the Fourth Proportional to 5,098.31, 7,036.03 and 2,829.77

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Solution

The fourth proportional to 5,098.31, 7,036.03 and 2,829.77 is: 3,905.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.31 : 7,036.03 = 2,829.77 : x
  2. Step 2: Convert to fraction form
    5,098.31/7,036.03 = 2,829.77/x
  3. Step 3: Cross multiply
    5,098.31x = 7,036.03 × 2,829.77
  4. Step 4: Simplify right side
    5,098.31x = 19,910,341.36
  5. Step 5: Solve for x
    x = 19,910,341.36/5,098.31
  6. Step 6: Final answer
    x = 3,905.28

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