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Finding the Fourth Proportional to 4,965.42, 7,448.12 and 1,267.65

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Solution

The fourth proportional to 4,965.42, 7,448.12 and 1,267.65 is: 1,901.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.42 : 7,448.12 = 1,267.65 : x
  2. Step 2: Convert to fraction form
    4,965.42/7,448.12 = 1,267.65/x
  3. Step 3: Cross multiply
    4,965.42x = 7,448.12 × 1,267.65
  4. Step 4: Simplify right side
    4,965.42x = 9,441,565.74
  5. Step 5: Solve for x
    x = 9,441,565.74/4,965.42
  6. Step 6: Final answer
    x = 1,901.47

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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.