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Finding the Fourth Proportional to 5,213.08, 7,779.20 and 4,747.42

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Solution

The fourth proportional to 5,213.08, 7,779.20 and 4,747.42 is: 7,084.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.08 : 7,779.20 = 4,747.42 : x
  2. Step 2: Convert to fraction form
    5,213.08/7,779.20 = 4,747.42/x
  3. Step 3: Cross multiply
    5,213.08x = 7,779.20 × 4,747.42
  4. Step 4: Simplify right side
    5,213.08x = 36,931,129.66
  5. Step 5: Solve for x
    x = 36,931,129.66/5,213.08
  6. Step 6: Final answer
    x = 7,084.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.