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Finding the Fourth Proportional to 5,712.69, 8,569.05 and 2,014.05

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Solution

The fourth proportional to 5,712.69, 8,569.05 and 2,014.05 is: 3,021.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.69 : 8,569.05 = 2,014.05 : x
  2. Step 2: Convert to fraction form
    5,712.69/8,569.05 = 2,014.05/x
  3. Step 3: Cross multiply
    5,712.69x = 8,569.05 × 2,014.05
  4. Step 4: Simplify right side
    5,712.69x = 17,258,495.15
  5. Step 5: Solve for x
    x = 17,258,495.15/5,712.69
  6. Step 6: Final answer
    x = 3,021.08

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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.