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Finding the Fourth Proportional to 4,714.56, 7,057.25 and 4,014.72

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Solution

The fourth proportional to 4,714.56, 7,057.25 and 4,014.72 is: 6,009.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.56 : 7,057.25 = 4,014.72 : x
  2. Step 2: Convert to fraction form
    4,714.56/7,057.25 = 4,014.72/x
  3. Step 3: Cross multiply
    4,714.56x = 7,057.25 × 4,014.72
  4. Step 4: Simplify right side
    4,714.56x = 28,332,827.36
  5. Step 5: Solve for x
    x = 28,332,827.36/4,714.56
  6. Step 6: Final answer
    x = 6,009.65

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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.