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Finding the Fourth Proportional to 3,457.99, 5,187.14 and 1,266.64

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Solution

The fourth proportional to 3,457.99, 5,187.14 and 1,266.64 is: 1,900.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.99 : 5,187.14 = 1,266.64 : x
  2. Step 2: Convert to fraction form
    3,457.99/5,187.14 = 1,266.64/x
  3. Step 3: Cross multiply
    3,457.99x = 5,187.14 × 1,266.64
  4. Step 4: Simplify right side
    3,457.99x = 6,570,224.46
  5. Step 5: Solve for x
    x = 6,570,224.46/3,457.99
  6. Step 6: Final answer
    x = 1,900.01

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1.5x scale

Why These Related Problems?

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