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Finding the Fourth Proportional to 3,602.40, 4,966.38 and 2,275.44

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Solution

The fourth proportional to 3,602.40, 4,966.38 and 2,275.44 is: 3,136.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.40 : 4,966.38 = 2,275.44 : x
  2. Step 2: Convert to fraction form
    3,602.40/4,966.38 = 2,275.44/x
  3. Step 3: Cross multiply
    3,602.40x = 4,966.38 × 2,275.44
  4. Step 4: Simplify right side
    3,602.40x = 11,300,699.71
  5. Step 5: Solve for x
    x = 11,300,699.71/3,602.40
  6. Step 6: Final answer
    x = 3,136.99

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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.