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Finding the Fourth Proportional to 4,606.02, 6,356.16 and 2,617.02

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Solution

The fourth proportional to 4,606.02, 6,356.16 and 2,617.02 is: 3,611.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.02 : 6,356.16 = 2,617.02 : x
  2. Step 2: Convert to fraction form
    4,606.02/6,356.16 = 2,617.02/x
  3. Step 3: Cross multiply
    4,606.02x = 6,356.16 × 2,617.02
  4. Step 4: Simplify right side
    4,606.02x = 16,634,197.84
  5. Step 5: Solve for x
    x = 16,634,197.84/4,606.02
  6. Step 6: Final answer
    x = 3,611.40

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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.