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Finding the Fourth Proportional to 3,665.52, 5,494.77 and 1,583.46

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Solution

The fourth proportional to 3,665.52, 5,494.77 and 1,583.46 is: 2,373.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.52 : 5,494.77 = 1,583.46 : x
  2. Step 2: Convert to fraction form
    3,665.52/5,494.77 = 1,583.46/x
  3. Step 3: Cross multiply
    3,665.52x = 5,494.77 × 1,583.46
  4. Step 4: Simplify right side
    3,665.52x = 8,700,748.50
  5. Step 5: Solve for x
    x = 8,700,748.50/3,665.52
  6. Step 6: Final answer
    x = 2,373.67

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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.