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Finding the Fourth Proportional to 4,649.35, 6,967.69 and 2,566.25

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Solution

The fourth proportional to 4,649.35, 6,967.69 and 2,566.25 is: 3,845.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.35 : 6,967.69 = 2,566.25 : x
  2. Step 2: Convert to fraction form
    4,649.35/6,967.69 = 2,566.25/x
  3. Step 3: Cross multiply
    4,649.35x = 6,967.69 × 2,566.25
  4. Step 4: Simplify right side
    4,649.35x = 17,880,834.46
  5. Step 5: Solve for x
    x = 17,880,834.46/4,649.35
  6. Step 6: Final answer
    x = 3,845.88

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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.