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Finding the Fourth Proportional to 5,669.01, 8,505 and 2,159.10

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Solution

The fourth proportional to 5,669.01, 8,505 and 2,159.10 is: 3,239.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.01 : 8,505 = 2,159.10 : x
  2. Step 2: Convert to fraction form
    5,669.01/8,505 = 2,159.10/x
  3. Step 3: Cross multiply
    5,669.01x = 8,505 × 2,159.10
  4. Step 4: Simplify right side
    5,669.01x = 18,363,145.50
  5. Step 5: Solve for x
    x = 18,363,145.50/5,669.01
  6. Step 6: Final answer
    x = 3,239.22

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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.