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Finding the Fourth Proportional to 5,703.41, 7,870.15 and 3,185.32

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Solution

The fourth proportional to 5,703.41, 7,870.15 and 3,185.32 is: 4,395.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.41 : 7,870.15 = 3,185.32 : x
  2. Step 2: Convert to fraction form
    5,703.41/7,870.15 = 3,185.32/x
  3. Step 3: Cross multiply
    5,703.41x = 7,870.15 × 3,185.32
  4. Step 4: Simplify right side
    5,703.41x = 25,068,946.20
  5. Step 5: Solve for x
    x = 25,068,946.20/5,703.41
  6. Step 6: Final answer
    x = 4,395.43

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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.