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Finding the Fourth Proportional to 3,730.59, 5,591.97 and 1,536.30

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Solution

The fourth proportional to 3,730.59, 5,591.97 and 1,536.30 is: 2,302.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.59 : 5,591.97 = 1,536.30 : x
  2. Step 2: Convert to fraction form
    3,730.59/5,591.97 = 1,536.30/x
  3. Step 3: Cross multiply
    3,730.59x = 5,591.97 × 1,536.30
  4. Step 4: Simplify right side
    3,730.59x = 8,590,943.51
  5. Step 5: Solve for x
    x = 8,590,943.51/3,730.59
  6. Step 6: Final answer
    x = 2,302.84

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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.