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Finding the Fourth Proportional to 4,186.01, 5,776.21 and 2,507.19

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Solution

The fourth proportional to 4,186.01, 5,776.21 and 2,507.19 is: 3,459.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186.01 : 5,776.21 = 2,507.19 : x
  2. Step 2: Convert to fraction form
    4,186.01/5,776.21 = 2,507.19/x
  3. Step 3: Cross multiply
    4,186.01x = 5,776.21 × 2,507.19
  4. Step 4: Simplify right side
    4,186.01x = 14,482,037.42
  5. Step 5: Solve for x
    x = 14,482,037.42/4,186.01
  6. Step 6: Final answer
    x = 3,459.63

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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.