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Finding the Fourth Proportional to 5,752.10, 8,611.40 and 4,297.34

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Solution

The fourth proportional to 5,752.10, 8,611.40 and 4,297.34 is: 6,433.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.10 : 8,611.40 = 4,297.34 : x
  2. Step 2: Convert to fraction form
    5,752.10/8,611.40 = 4,297.34/x
  3. Step 3: Cross multiply
    5,752.10x = 8,611.40 × 4,297.34
  4. Step 4: Simplify right side
    5,752.10x = 37,006,081.36
  5. Step 5: Solve for x
    x = 37,006,081.36/5,752.10
  6. Step 6: Final answer
    x = 6,433.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.