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Finding the Fourth Proportional to 4,298.94, 6,448.40 and 1,525.71

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Solution

The fourth proportional to 4,298.94, 6,448.40 and 1,525.71 is: 2,288.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298.94 : 6,448.40 = 1,525.71 : x
  2. Step 2: Convert to fraction form
    4,298.94/6,448.40 = 1,525.71/x
  3. Step 3: Cross multiply
    4,298.94x = 6,448.40 × 1,525.71
  4. Step 4: Simplify right side
    4,298.94x = 9,838,380.74
  5. Step 5: Solve for x
    x = 9,838,380.74/4,298.94
  6. Step 6: Final answer
    x = 2,288.56

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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.