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Finding the Fourth Proportional to 3,064.53, 4,597.26 and 1,116.28

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Solution

The fourth proportional to 3,064.53, 4,597.26 and 1,116.28 is: 1,674.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.53 : 4,597.26 = 1,116.28 : x
  2. Step 2: Convert to fraction form
    3,064.53/4,597.26 = 1,116.28/x
  3. Step 3: Cross multiply
    3,064.53x = 4,597.26 × 1,116.28
  4. Step 4: Simplify right side
    3,064.53x = 5,131,830.95
  5. Step 5: Solve for x
    x = 5,131,830.95/3,064.53
  6. Step 6: Final answer
    x = 1,674.59

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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.