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Finding the Fourth Proportional to 5,218.35, 7,204.10 and 3,548.67

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Solution

The fourth proportional to 5,218.35, 7,204.10 and 3,548.67 is: 4,899.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.35 : 7,204.10 = 3,548.67 : x
  2. Step 2: Convert to fraction form
    5,218.35/7,204.10 = 3,548.67/x
  3. Step 3: Cross multiply
    5,218.35x = 7,204.10 × 3,548.67
  4. Step 4: Simplify right side
    5,218.35x = 25,564,955.80
  5. Step 5: Solve for x
    x = 25,564,955.80/5,218.35
  6. Step 6: Final answer
    x = 4,899.05

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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.