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Finding the Fourth Proportional to 5,703.58, 7,870.71 and 3,185.65

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Solution

The fourth proportional to 5,703.58, 7,870.71 and 3,185.65 is: 4,396.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.58 : 7,870.71 = 3,185.65 : x
  2. Step 2: Convert to fraction form
    5,703.58/7,870.71 = 3,185.65/x
  3. Step 3: Cross multiply
    5,703.58x = 7,870.71 × 3,185.65
  4. Step 4: Simplify right side
    5,703.58x = 25,073,327.31
  5. Step 5: Solve for x
    x = 25,073,327.31/5,703.58
  6. Step 6: Final answer
    x = 4,396.07

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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.