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Finding the Fourth Proportional to 5,655.62, 7,797.57 and 4,042.46

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Solution

The fourth proportional to 5,655.62, 7,797.57 and 4,042.46 is: 5,573.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.62 : 7,797.57 = 4,042.46 : x
  2. Step 2: Convert to fraction form
    5,655.62/7,797.57 = 4,042.46/x
  3. Step 3: Cross multiply
    5,655.62x = 7,797.57 × 4,042.46
  4. Step 4: Simplify right side
    5,655.62x = 31,521,325.83
  5. Step 5: Solve for x
    x = 31,521,325.83/5,655.62
  6. Step 6: Final answer
    x = 5,573.46

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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.