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Finding the Fourth Proportional to 5,703.26, 7,870.38 and 3,185.30

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Solution

The fourth proportional to 5,703.26, 7,870.38 and 3,185.30 is: 4,395.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.26 : 7,870.38 = 3,185.30 : x
  2. Step 2: Convert to fraction form
    5,703.26/7,870.38 = 3,185.30/x
  3. Step 3: Cross multiply
    5,703.26x = 7,870.38 × 3,185.30
  4. Step 4: Simplify right side
    5,703.26x = 25,069,521.41
  5. Step 5: Solve for x
    x = 25,069,521.41/5,703.26
  6. Step 6: Final answer
    x = 4,395.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.