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Finding the Fourth Proportional to 5,613.22, 7,754.70 and 4,782.57

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Solution

The fourth proportional to 5,613.22, 7,754.70 and 4,782.57 is: 6,607.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.22 : 7,754.70 = 4,782.57 : x
  2. Step 2: Convert to fraction form
    5,613.22/7,754.70 = 4,782.57/x
  3. Step 3: Cross multiply
    5,613.22x = 7,754.70 × 4,782.57
  4. Step 4: Simplify right side
    5,613.22x = 37,087,395.58
  5. Step 5: Solve for x
    x = 37,087,395.58/5,613.22
  6. Step 6: Final answer
    x = 6,607.15

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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.