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Finding the Fourth Proportional to 3,457.59, 5,186.67 and 1,265.79

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Solution

The fourth proportional to 3,457.59, 5,186.67 and 1,265.79 is: 1,898.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.59 : 5,186.67 = 1,265.79 : x
  2. Step 2: Convert to fraction form
    3,457.59/5,186.67 = 1,265.79/x
  3. Step 3: Cross multiply
    3,457.59x = 5,186.67 × 1,265.79
  4. Step 4: Simplify right side
    3,457.59x = 6,565,235.02
  5. Step 5: Solve for x
    x = 6,565,235.02/3,457.59
  6. Step 6: Final answer
    x = 1,898.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.