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Finding the Fourth Proportional to 5,649.63, 7,796.76 and 3,411.46

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Solution

The fourth proportional to 5,649.63, 7,796.76 and 3,411.46 is: 4,707.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.63 : 7,796.76 = 3,411.46 : x
  2. Step 2: Convert to fraction form
    5,649.63/7,796.76 = 3,411.46/x
  3. Step 3: Cross multiply
    5,649.63x = 7,796.76 × 3,411.46
  4. Step 4: Simplify right side
    5,649.63x = 26,598,334.87
  5. Step 5: Solve for x
    x = 26,598,334.87/5,649.63
  6. Step 6: Final answer
    x = 4,707.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.