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Finding the Fourth Proportional to 4,506, 6,219 and 3,266.16

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Solution

The fourth proportional to 4,506, 6,219 and 3,266.16 is: 4,507.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506 : 6,219 = 3,266.16 : x
  2. Step 2: Convert to fraction form
    4,506/6,219 = 3,266.16/x
  3. Step 3: Cross multiply
    4,506x = 6,219 × 3,266.16
  4. Step 4: Simplify right side
    4,506x = 20,312,249.04
  5. Step 5: Solve for x
    x = 20,312,249.04/4,506
  6. Step 6: Final answer
    x = 4,507.82

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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.