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Finding the Fourth Proportional to 5,685.84, 8,507.16 and 5,110.32

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Solution

The fourth proportional to 5,685.84, 8,507.16 and 5,110.32 is: 7,646.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.84 : 8,507.16 = 5,110.32 : x
  2. Step 2: Convert to fraction form
    5,685.84/8,507.16 = 5,110.32/x
  3. Step 3: Cross multiply
    5,685.84x = 8,507.16 × 5,110.32
  4. Step 4: Simplify right side
    5,685.84x = 43,474,309.89
  5. Step 5: Solve for x
    x = 43,474,309.89/5,685.84
  6. Step 6: Final answer
    x = 7,646.07

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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.