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Finding the Fourth Proportional to 5,798.97, 8,001.23 and 3,703.77

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Solution

The fourth proportional to 5,798.97, 8,001.23 and 3,703.77 is: 5,110.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.97 : 8,001.23 = 3,703.77 : x
  2. Step 2: Convert to fraction form
    5,798.97/8,001.23 = 3,703.77/x
  3. Step 3: Cross multiply
    5,798.97x = 8,001.23 × 3,703.77
  4. Step 4: Simplify right side
    5,798.97x = 29,634,697.12
  5. Step 5: Solve for x
    x = 29,634,697.12/5,798.97
  6. Step 6: Final answer
    x = 5,110.34

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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.