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Finding the Fourth Proportional to 4,428.57, 6,645.58 and 1,831.50

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Solution

The fourth proportional to 4,428.57, 6,645.58 and 1,831.50 is: 2,748.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,428.57 : 6,645.58 = 1,831.50 : x
  2. Step 2: Convert to fraction form
    4,428.57/6,645.58 = 1,831.50/x
  3. Step 3: Cross multiply
    4,428.57x = 6,645.58 × 1,831.50
  4. Step 4: Simplify right side
    4,428.57x = 12,171,379.77
  5. Step 5: Solve for x
    x = 12,171,379.77/4,428.57
  6. Step 6: Final answer
    x = 2,748.38

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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.