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Finding the Fourth Proportional to 5,663.93, 7,815.96 and 3,146.20

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Solution

The fourth proportional to 5,663.93, 7,815.96 and 3,146.20 is: 4,341.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.93 : 7,815.96 = 3,146.20 : x
  2. Step 2: Convert to fraction form
    5,663.93/7,815.96 = 3,146.20/x
  3. Step 3: Cross multiply
    5,663.93x = 7,815.96 × 3,146.20
  4. Step 4: Simplify right side
    5,663.93x = 24,590,573.35
  5. Step 5: Solve for x
    x = 24,590,573.35/5,663.93
  6. Step 6: Final answer
    x = 4,341.61

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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.