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Finding the Fourth Proportional to 5,505.24, 7,595.37 and 3,145.71

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Solution

The fourth proportional to 5,505.24, 7,595.37 and 3,145.71 is: 4,340.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,505.24 : 7,595.37 = 3,145.71 : x
  2. Step 2: Convert to fraction form
    5,505.24/7,595.37 = 3,145.71/x
  3. Step 3: Cross multiply
    5,505.24x = 7,595.37 × 3,145.71
  4. Step 4: Simplify right side
    5,505.24x = 23,892,831.36
  5. Step 5: Solve for x
    x = 23,892,831.36/5,505.24
  6. Step 6: Final answer
    x = 4,340.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.