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Finding the Fourth Proportional to 3,293.68, 4,941.06 and 1,538.68

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Solution

The fourth proportional to 3,293.68, 4,941.06 and 1,538.68 is: 2,308.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.68 : 4,941.06 = 1,538.68 : x
  2. Step 2: Convert to fraction form
    3,293.68/4,941.06 = 1,538.68/x
  3. Step 3: Cross multiply
    3,293.68x = 4,941.06 × 1,538.68
  4. Step 4: Simplify right side
    3,293.68x = 7,602,710.20
  5. Step 5: Solve for x
    x = 7,602,710.20/3,293.68
  6. Step 6: Final answer
    x = 2,308.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.