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Finding the Fourth Proportional to 5,664.08, 7,816.10 and 3,146.13

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Solution

The fourth proportional to 5,664.08, 7,816.10 and 3,146.13 is: 4,341.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.08 : 7,816.10 = 3,146.13 : x
  2. Step 2: Convert to fraction form
    5,664.08/7,816.10 = 3,146.13/x
  3. Step 3: Cross multiply
    5,664.08x = 7,816.10 × 3,146.13
  4. Step 4: Simplify right side
    5,664.08x = 24,590,466.69
  5. Step 5: Solve for x
    x = 24,590,466.69/5,664.08
  6. Step 6: Final answer
    x = 4,341.48

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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.