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Finding the Fourth Proportional to 3,642.60, 4,959.12 and 3,610.20

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Solution

The fourth proportional to 3,642.60, 4,959.12 and 3,610.20 is: 4,915.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.60 : 4,959.12 = 3,610.20 : x
  2. Step 2: Convert to fraction form
    3,642.60/4,959.12 = 3,610.20/x
  3. Step 3: Cross multiply
    3,642.60x = 4,959.12 × 3,610.20
  4. Step 4: Simplify right side
    3,642.60x = 17,903,415.02
  5. Step 5: Solve for x
    x = 17,903,415.02/3,642.60
  6. Step 6: Final answer
    x = 4,915.01

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.