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Finding the Fourth Proportional to 5,579.32, 8,369.03 and 1,419.33

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Solution

The fourth proportional to 5,579.32, 8,369.03 and 1,419.33 is: 2,129.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,579.32 : 8,369.03 = 1,419.33 : x
  2. Step 2: Convert to fraction form
    5,579.32/8,369.03 = 1,419.33/x
  3. Step 3: Cross multiply
    5,579.32x = 8,369.03 × 1,419.33
  4. Step 4: Simplify right side
    5,579.32x = 11,878,373.50
  5. Step 5: Solve for x
    x = 11,878,373.50/5,579.32
  6. Step 6: Final answer
    x = 2,129.00

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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.