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Finding the Fourth Proportional to 5,655.16, 7,796.94 and 4,042.00

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Solution

The fourth proportional to 5,655.16, 7,796.94 and 4,042.00 is: 5,572.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.16 : 7,796.94 = 4,042.00 : x
  2. Step 2: Convert to fraction form
    5,655.16/7,796.94 = 4,042.00/x
  3. Step 3: Cross multiply
    5,655.16x = 7,796.94 × 4,042.00
  4. Step 4: Simplify right side
    5,655.16x = 31,515,192.50
  5. Step 5: Solve for x
    x = 31,515,192.50/5,655.16
  6. Step 6: Final answer
    x = 5,572.83

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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.