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Finding the Fourth Proportional to 5,665.81, 7,818.89 and 3,427.93

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Solution

The fourth proportional to 5,665.81, 7,818.89 and 3,427.93 is: 4,730.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.81 : 7,818.89 = 3,427.93 : x
  2. Step 2: Convert to fraction form
    5,665.81/7,818.89 = 3,427.93/x
  3. Step 3: Cross multiply
    5,665.81x = 7,818.89 × 3,427.93
  4. Step 4: Simplify right side
    5,665.81x = 26,802,590.46
  5. Step 5: Solve for x
    x = 26,802,590.46/5,665.81
  6. Step 6: Final answer
    x = 4,730.58

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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.