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Finding the Fourth Proportional to 5,663.48, 8,484.24 and 3,190.76

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Solution

The fourth proportional to 5,663.48, 8,484.24 and 3,190.76 is: 4,779.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.48 : 8,484.24 = 3,190.76 : x
  2. Step 2: Convert to fraction form
    5,663.48/8,484.24 = 3,190.76/x
  3. Step 3: Cross multiply
    5,663.48x = 8,484.24 × 3,190.76
  4. Step 4: Simplify right side
    5,663.48x = 27,071,173.62
  5. Step 5: Solve for x
    x = 27,071,173.62/5,663.48
  6. Step 6: Final answer
    x = 4,779.95

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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.