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Finding the Fourth Proportional to 3,248.37, 4,872.83 and 1,582.07

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Solution

The fourth proportional to 3,248.37, 4,872.83 and 1,582.07 is: 2,373.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248.37 : 4,872.83 = 1,582.07 : x
  2. Step 2: Convert to fraction form
    3,248.37/4,872.83 = 1,582.07/x
  3. Step 3: Cross multiply
    3,248.37x = 4,872.83 × 1,582.07
  4. Step 4: Simplify right side
    3,248.37x = 7,709,125.88
  5. Step 5: Solve for x
    x = 7,709,125.88/3,248.37
  6. Step 6: Final answer
    x = 2,373.23

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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.