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Finding the Fourth Proportional to 4,770.28, 7,156.07 and 1,649.45

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Solution

The fourth proportional to 4,770.28, 7,156.07 and 1,649.45 is: 2,474.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.28 : 7,156.07 = 1,649.45 : x
  2. Step 2: Convert to fraction form
    4,770.28/7,156.07 = 1,649.45/x
  3. Step 3: Cross multiply
    4,770.28x = 7,156.07 × 1,649.45
  4. Step 4: Simplify right side
    4,770.28x = 11,803,583.79
  5. Step 5: Solve for x
    x = 11,803,583.79/4,770.28
  6. Step 6: Final answer
    x = 2,474.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.