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Finding the Fourth Proportional to 3,416.72, 4,714.32 and 2,174

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Solution

The fourth proportional to 3,416.72, 4,714.32 and 2,174 is: 2,999.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.72 : 4,714.32 = 2,174 : x
  2. Step 2: Convert to fraction form
    3,416.72/4,714.32 = 2,174/x
  3. Step 3: Cross multiply
    3,416.72x = 4,714.32 × 2,174
  4. Step 4: Simplify right side
    3,416.72x = 10,248,931.68
  5. Step 5: Solve for x
    x = 10,248,931.68/3,416.72
  6. Step 6: Final answer
    x = 2,999.64

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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.