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Finding the Fourth Proportional to 4,823.64, 7,203.24 and 4,122.99

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Solution

The fourth proportional to 4,823.64, 7,203.24 and 4,122.99 is: 6,156.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823.64 : 7,203.24 = 4,122.99 : x
  2. Step 2: Convert to fraction form
    4,823.64/7,203.24 = 4,122.99/x
  3. Step 3: Cross multiply
    4,823.64x = 7,203.24 × 4,122.99
  4. Step 4: Simplify right side
    4,823.64x = 29,698,886.49
  5. Step 5: Solve for x
    x = 29,698,886.49/4,823.64
  6. Step 6: Final answer
    x = 6,156.95

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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.