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Finding the Fourth Proportional to 5,765.63, 8,649.05 and 2,645.10

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Solution

The fourth proportional to 5,765.63, 8,649.05 and 2,645.10 is: 3,967.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.63 : 8,649.05 = 2,645.10 : x
  2. Step 2: Convert to fraction form
    5,765.63/8,649.05 = 2,645.10/x
  3. Step 3: Cross multiply
    5,765.63x = 8,649.05 × 2,645.10
  4. Step 4: Simplify right side
    5,765.63x = 22,877,588.93
  5. Step 5: Solve for x
    x = 22,877,588.93/5,765.63
  6. Step 6: Final answer
    x = 3,967.93

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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.