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Finding the Fourth Proportional to 5,222.72, 7,822.08 and 4,390.40

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Solution

The fourth proportional to 5,222.72, 7,822.08 and 4,390.40 is: 6,575.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.72 : 7,822.08 = 4,390.40 : x
  2. Step 2: Convert to fraction form
    5,222.72/7,822.08 = 4,390.40/x
  3. Step 3: Cross multiply
    5,222.72x = 7,822.08 × 4,390.40
  4. Step 4: Simplify right side
    5,222.72x = 34,342,060.03
  5. Step 5: Solve for x
    x = 34,342,060.03/5,222.72
  6. Step 6: Final answer
    x = 6,575.51

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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.