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Finding the Fourth Proportional to 5,693.65, 8,527.35 and 5,496.64

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Solution

The fourth proportional to 5,693.65, 8,527.35 and 5,496.64 is: 8,232.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.65 : 8,527.35 = 5,496.64 : x
  2. Step 2: Convert to fraction form
    5,693.65/8,527.35 = 5,496.64/x
  3. Step 3: Cross multiply
    5,693.65x = 8,527.35 × 5,496.64
  4. Step 4: Simplify right side
    5,693.65x = 46,871,773.10
  5. Step 5: Solve for x
    x = 46,871,773.10/5,693.65
  6. Step 6: Final answer
    x = 8,232.29

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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.