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Finding the Fourth Proportional to 5,768.60, 8,648.24 and 5,307.30

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Solution

The fourth proportional to 5,768.60, 8,648.24 and 5,307.30 is: 7,956.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.60 : 8,648.24 = 5,307.30 : x
  2. Step 2: Convert to fraction form
    5,768.60/8,648.24 = 5,307.30/x
  3. Step 3: Cross multiply
    5,768.60x = 8,648.24 × 5,307.30
  4. Step 4: Simplify right side
    5,768.60x = 45,898,777.62
  5. Step 5: Solve for x
    x = 45,898,777.62/5,768.60
  6. Step 6: Final answer
    x = 7,956.66

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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.