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Finding the Fourth Proportional to 5,709.51, 7,878.71 and 3,157.16

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Solution

The fourth proportional to 5,709.51, 7,878.71 and 3,157.16 is: 4,356.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.51 : 7,878.71 = 3,157.16 : x
  2. Step 2: Convert to fraction form
    5,709.51/7,878.71 = 3,157.16/x
  3. Step 3: Cross multiply
    5,709.51x = 7,878.71 × 3,157.16
  4. Step 4: Simplify right side
    5,709.51x = 24,874,316.56
  5. Step 5: Solve for x
    x = 24,874,316.56/5,709.51
  6. Step 6: Final answer
    x = 4,356.65

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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.