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Finding the Fourth Proportional to 5,170.48, 7,117.25 and 4,506.19

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Solution

The fourth proportional to 5,170.48, 7,117.25 and 4,506.19 is: 6,202.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.48 : 7,117.25 = 4,506.19 : x
  2. Step 2: Convert to fraction form
    5,170.48/7,117.25 = 4,506.19/x
  3. Step 3: Cross multiply
    5,170.48x = 7,117.25 × 4,506.19
  4. Step 4: Simplify right side
    5,170.48x = 32,071,640.45
  5. Step 5: Solve for x
    x = 32,071,640.45/5,170.48
  6. Step 6: Final answer
    x = 6,202.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.