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Finding the Fourth Proportional to 5,653.71, 7,808.67 and 5,325.66

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Solution

The fourth proportional to 5,653.71, 7,808.67 and 5,325.66 is: 7,355.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.71 : 7,808.67 = 5,325.66 : x
  2. Step 2: Convert to fraction form
    5,653.71/7,808.67 = 5,325.66/x
  3. Step 3: Cross multiply
    5,653.71x = 7,808.67 × 5,325.66
  4. Step 4: Simplify right side
    5,653.71x = 41,586,321.47
  5. Step 5: Solve for x
    x = 41,586,321.47/5,653.71
  6. Step 6: Final answer
    x = 7,355.58

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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.