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Finding the Fourth Proportional to 4,206.17, 5,762.49 and 4,048.53

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Solution

The fourth proportional to 4,206.17, 5,762.49 and 4,048.53 is: 5,546.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.17 : 5,762.49 = 4,048.53 : x
  2. Step 2: Convert to fraction form
    4,206.17/5,762.49 = 4,048.53/x
  3. Step 3: Cross multiply
    4,206.17x = 5,762.49 × 4,048.53
  4. Step 4: Simplify right side
    4,206.17x = 23,329,613.64
  5. Step 5: Solve for x
    x = 23,329,613.64/4,206.17
  6. Step 6: Final answer
    x = 5,546.53

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.