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Finding the Fourth Proportional to 5,412.24, 7,469.88 and 4,526.64

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Solution

The fourth proportional to 5,412.24, 7,469.88 and 4,526.64 is: 6,247.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.24 : 7,469.88 = 4,526.64 : x
  2. Step 2: Convert to fraction form
    5,412.24/7,469.88 = 4,526.64/x
  3. Step 3: Cross multiply
    5,412.24x = 7,469.88 × 4,526.64
  4. Step 4: Simplify right side
    5,412.24x = 33,813,457.60
  5. Step 5: Solve for x
    x = 33,813,457.60/5,412.24
  6. Step 6: Final answer
    x = 6,247.59

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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.