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Finding the Fourth Proportional to 4,745, 6,548.42 and 2,649.17

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Solution

The fourth proportional to 4,745, 6,548.42 and 2,649.17 is: 3,656.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745 : 6,548.42 = 2,649.17 : x
  2. Step 2: Convert to fraction form
    4,745/6,548.42 = 2,649.17/x
  3. Step 3: Cross multiply
    4,745x = 6,548.42 × 2,649.17
  4. Step 4: Simplify right side
    4,745x = 17,347,877.81
  5. Step 5: Solve for x
    x = 17,347,877.81/4,745
  6. Step 6: Final answer
    x = 3,656.03

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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.