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Finding the Fourth Proportional to 5,962.63, 8,944.12 and 1,580.09

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Solution

The fourth proportional to 5,962.63, 8,944.12 and 1,580.09 is: 2,370.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,962.63 : 8,944.12 = 1,580.09 : x
  2. Step 2: Convert to fraction form
    5,962.63/8,944.12 = 1,580.09/x
  3. Step 3: Cross multiply
    5,962.63x = 8,944.12 × 1,580.09
  4. Step 4: Simplify right side
    5,962.63x = 14,132,506.67
  5. Step 5: Solve for x
    x = 14,132,506.67/5,962.63
  6. Step 6: Final answer
    x = 2,370.18

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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.