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Finding the Fourth Proportional to 5,653.61, 8,475.63 and 2,141.68

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Solution

The fourth proportional to 5,653.61, 8,475.63 and 2,141.68 is: 3,210.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.61 : 8,475.63 = 2,141.68 : x
  2. Step 2: Convert to fraction form
    5,653.61/8,475.63 = 2,141.68/x
  3. Step 3: Cross multiply
    5,653.61x = 8,475.63 × 2,141.68
  4. Step 4: Simplify right side
    5,653.61x = 18,152,087.26
  5. Step 5: Solve for x
    x = 18,152,087.26/5,653.61
  6. Step 6: Final answer
    x = 3,210.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.