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Finding the Fourth Proportional to 4,521.16, 6,784.06 and 3,425.16

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Solution

The fourth proportional to 4,521.16, 6,784.06 and 3,425.16 is: 5,139.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,521.16 : 6,784.06 = 3,425.16 : x
  2. Step 2: Convert to fraction form
    4,521.16/6,784.06 = 3,425.16/x
  3. Step 3: Cross multiply
    4,521.16x = 6,784.06 × 3,425.16
  4. Step 4: Simplify right side
    4,521.16x = 23,236,490.95
  5. Step 5: Solve for x
    x = 23,236,490.95/4,521.16
  6. Step 6: Final answer
    x = 5,139.50

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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.