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Finding the Fourth Proportional to 5,681.07, 7,838.64 and 3,321.81

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Solution

The fourth proportional to 5,681.07, 7,838.64 and 3,321.81 is: 4,583.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.07 : 7,838.64 = 3,321.81 : x
  2. Step 2: Convert to fraction form
    5,681.07/7,838.64 = 3,321.81/x
  3. Step 3: Cross multiply
    5,681.07x = 7,838.64 × 3,321.81
  4. Step 4: Simplify right side
    5,681.07x = 26,038,472.74
  5. Step 5: Solve for x
    x = 26,038,472.74/5,681.07
  6. Step 6: Final answer
    x = 4,583.37

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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.