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Finding the Fourth Proportional to 3,259.36, 4,888.64 and 950.86

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Solution

The fourth proportional to 3,259.36, 4,888.64 and 950.86 is: 1,426.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.36 : 4,888.64 = 950.86 : x
  2. Step 2: Convert to fraction form
    3,259.36/4,888.64 = 950.86/x
  3. Step 3: Cross multiply
    3,259.36x = 4,888.64 × 950.86
  4. Step 4: Simplify right side
    3,259.36x = 4,648,412.23
  5. Step 5: Solve for x
    x = 4,648,412.23/3,259.36
  6. Step 6: Final answer
    x = 1,426.17

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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.