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Finding the Fourth Proportional to 4,574.92, 6,315.80 and 2,983

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Solution

The fourth proportional to 4,574.92, 6,315.80 and 2,983 is: 4,118.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.92 : 6,315.80 = 2,983 : x
  2. Step 2: Convert to fraction form
    4,574.92/6,315.80 = 2,983/x
  3. Step 3: Cross multiply
    4,574.92x = 6,315.80 × 2,983
  4. Step 4: Simplify right side
    4,574.92x = 18,840,031.40
  5. Step 5: Solve for x
    x = 18,840,031.40/4,574.92
  6. Step 6: Final answer
    x = 4,118.11

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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.