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Finding the Fourth Proportional to 5,864.16, 8,092.20 and 3,506.16

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Solution

The fourth proportional to 5,864.16, 8,092.20 and 3,506.16 is: 4,838.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864.16 : 8,092.20 = 3,506.16 : x
  2. Step 2: Convert to fraction form
    5,864.16/8,092.20 = 3,506.16/x
  3. Step 3: Cross multiply
    5,864.16x = 8,092.20 × 3,506.16
  4. Step 4: Simplify right side
    5,864.16x = 28,372,547.95
  5. Step 5: Solve for x
    x = 28,372,547.95/5,864.16
  6. Step 6: Final answer
    x = 4,838.30

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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.