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Finding the Fourth Proportional to 2,714.10, 3,746.01 and 2,529.42

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Solution

The fourth proportional to 2,714.10, 3,746.01 and 2,529.42 is: 3,491.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.10 : 3,746.01 = 2,529.42 : x
  2. Step 2: Convert to fraction form
    2,714.10/3,746.01 = 2,529.42/x
  3. Step 3: Cross multiply
    2,714.10x = 3,746.01 × 2,529.42
  4. Step 4: Simplify right side
    2,714.10x = 9,475,232.61
  5. Step 5: Solve for x
    x = 9,475,232.61/2,714.10
  6. Step 6: Final answer
    x = 3,491.11

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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.