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Finding the Fourth Proportional to 3,557.70, 5,332.50 and 1,365.48

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Solution

The fourth proportional to 3,557.70, 5,332.50 and 1,365.48 is: 2,046.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557.70 : 5,332.50 = 1,365.48 : x
  2. Step 2: Convert to fraction form
    3,557.70/5,332.50 = 1,365.48/x
  3. Step 3: Cross multiply
    3,557.70x = 5,332.50 × 1,365.48
  4. Step 4: Simplify right side
    3,557.70x = 7,281,422.10
  5. Step 5: Solve for x
    x = 7,281,422.10/3,557.70
  6. Step 6: Final answer
    x = 2,046.67

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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.