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Finding the Fourth Proportional to 3,730.57, 5,595.98 and 1,133.50

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Solution

The fourth proportional to 3,730.57, 5,595.98 and 1,133.50 is: 1,700.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.57 : 5,595.98 = 1,133.50 : x
  2. Step 2: Convert to fraction form
    3,730.57/5,595.98 = 1,133.50/x
  3. Step 3: Cross multiply
    3,730.57x = 5,595.98 × 1,133.50
  4. Step 4: Simplify right side
    3,730.57x = 6,343,043.33
  5. Step 5: Solve for x
    x = 6,343,043.33/3,730.57
  6. Step 6: Final answer
    x = 1,700.29

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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.