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Finding the Fourth Proportional to 5,420.30, 8,117.17 and 4,477.48

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Solution

The fourth proportional to 5,420.30, 8,117.17 and 4,477.48 is: 6,705.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.30 : 8,117.17 = 4,477.48 : x
  2. Step 2: Convert to fraction form
    5,420.30/8,117.17 = 4,477.48/x
  3. Step 3: Cross multiply
    5,420.30x = 8,117.17 × 4,477.48
  4. Step 4: Simplify right side
    5,420.30x = 36,344,466.33
  5. Step 5: Solve for x
    x = 36,344,466.33/5,420.30
  6. Step 6: Final answer
    x = 6,705.25

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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.