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Finding the Fourth Proportional to 4,256.76, 6,386.22 and 2,175.96

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Solution

The fourth proportional to 4,256.76, 6,386.22 and 2,175.96 is: 3,264.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,256.76 : 6,386.22 = 2,175.96 : x
  2. Step 2: Convert to fraction form
    4,256.76/6,386.22 = 2,175.96/x
  3. Step 3: Cross multiply
    4,256.76x = 6,386.22 × 2,175.96
  4. Step 4: Simplify right side
    4,256.76x = 13,896,159.27
  5. Step 5: Solve for x
    x = 13,896,159.27/4,256.76
  6. Step 6: Final answer
    x = 3,264.49

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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.