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Finding the Fourth Proportional to 2,714.07, 4,047.27 and 2,564.01

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Solution

The fourth proportional to 2,714.07, 4,047.27 and 2,564.01 is: 3,823.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.07 : 4,047.27 = 2,564.01 : x
  2. Step 2: Convert to fraction form
    2,714.07/4,047.27 = 2,564.01/x
  3. Step 3: Cross multiply
    2,714.07x = 4,047.27 × 2,564.01
  4. Step 4: Simplify right side
    2,714.07x = 10,377,240.75
  5. Step 5: Solve for x
    x = 10,377,240.75/2,714.07
  6. Step 6: Final answer
    x = 3,823.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.