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Finding the Fourth Proportional to 5,167.25, 7,779 and 4,707.98

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Solution

The fourth proportional to 5,167.25, 7,779 and 4,707.98 is: 7,087.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.25 : 7,779 = 4,707.98 : x
  2. Step 2: Convert to fraction form
    5,167.25/7,779 = 4,707.98/x
  3. Step 3: Cross multiply
    5,167.25x = 7,779 × 4,707.98
  4. Step 4: Simplify right side
    5,167.25x = 36,623,376.42
  5. Step 5: Solve for x
    x = 36,623,376.42/5,167.25
  6. Step 6: Final answer
    x = 7,087.60

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.