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Finding the Fourth Proportional to 4,493.64, 6,201 and 2,504.40

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Solution

The fourth proportional to 4,493.64, 6,201 and 2,504.40 is: 3,455.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.64 : 6,201 = 2,504.40 : x
  2. Step 2: Convert to fraction form
    4,493.64/6,201 = 2,504.40/x
  3. Step 3: Cross multiply
    4,493.64x = 6,201 × 2,504.40
  4. Step 4: Simplify right side
    4,493.64x = 15,529,784.40
  5. Step 5: Solve for x
    x = 15,529,784.40/4,493.64
  6. Step 6: Final answer
    x = 3,455.95

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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.