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Finding the Fourth Proportional to 4,297.86, 5,935.71 and 3,461.34

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Solution

The fourth proportional to 4,297.86, 5,935.71 and 3,461.34 is: 4,780.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.86 : 5,935.71 = 3,461.34 : x
  2. Step 2: Convert to fraction form
    4,297.86/5,935.71 = 3,461.34/x
  3. Step 3: Cross multiply
    4,297.86x = 5,935.71 × 3,461.34
  4. Step 4: Simplify right side
    4,297.86x = 20,545,510.45
  5. Step 5: Solve for x
    x = 20,545,510.45/4,297.86
  6. Step 6: Final answer
    x = 4,780.40

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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.