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Finding the Fourth Proportional to 5,616.42, 7,750.57 and 3,064.16

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Solution

The fourth proportional to 5,616.42, 7,750.57 and 3,064.16 is: 4,228.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.42 : 7,750.57 = 3,064.16 : x
  2. Step 2: Convert to fraction form
    5,616.42/7,750.57 = 3,064.16/x
  3. Step 3: Cross multiply
    5,616.42x = 7,750.57 × 3,064.16
  4. Step 4: Simplify right side
    5,616.42x = 23,748,986.57
  5. Step 5: Solve for x
    x = 23,748,986.57/5,616.42
  6. Step 6: Final answer
    x = 4,228.49

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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.