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Finding the Fourth Proportional to 4,381.74, 6,572.61 and 1,784.67

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Solution

The fourth proportional to 4,381.74, 6,572.61 and 1,784.67 is: 2,677.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,381.74 : 6,572.61 = 1,784.67 : x
  2. Step 2: Convert to fraction form
    4,381.74/6,572.61 = 1,784.67/x
  3. Step 3: Cross multiply
    4,381.74x = 6,572.61 × 1,784.67
  4. Step 4: Simplify right side
    4,381.74x = 11,729,939.89
  5. Step 5: Solve for x
    x = 11,729,939.89/4,381.74
  6. Step 6: Final answer
    x = 2,677.01

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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.