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Finding the Fourth Proportional to 5,621.74, 8,430.62 and 1,872.50

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Solution

The fourth proportional to 5,621.74, 8,430.62 and 1,872.50 is: 2,808.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,621.74 : 8,430.62 = 1,872.50 : x
  2. Step 2: Convert to fraction form
    5,621.74/8,430.62 = 1,872.50/x
  3. Step 3: Cross multiply
    5,621.74x = 8,430.62 × 1,872.50
  4. Step 4: Simplify right side
    5,621.74x = 15,786,319.55
  5. Step 5: Solve for x
    x = 15,786,319.55/5,621.74
  6. Step 6: Final answer
    x = 2,808.09

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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.