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Finding the Fourth Proportional to 5,398.99, 8,103.98 and 5,188.86

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Solution

The fourth proportional to 5,398.99, 8,103.98 and 5,188.86 is: 7,788.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.99 : 8,103.98 = 5,188.86 : x
  2. Step 2: Convert to fraction form
    5,398.99/8,103.98 = 5,188.86/x
  3. Step 3: Cross multiply
    5,398.99x = 8,103.98 × 5,188.86
  4. Step 4: Simplify right side
    5,398.99x = 42,050,430.63
  5. Step 5: Solve for x
    x = 42,050,430.63/5,398.99
  6. Step 6: Final answer
    x = 7,788.58

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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.