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Finding the Fourth Proportional to 5,249.04, 7,868.72 and 1,783.88

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Solution

The fourth proportional to 5,249.04, 7,868.72 and 1,783.88 is: 2,674.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.04 : 7,868.72 = 1,783.88 : x
  2. Step 2: Convert to fraction form
    5,249.04/7,868.72 = 1,783.88/x
  3. Step 3: Cross multiply
    5,249.04x = 7,868.72 × 1,783.88
  4. Step 4: Simplify right side
    5,249.04x = 14,036,852.23
  5. Step 5: Solve for x
    x = 14,036,852.23/5,249.04
  6. Step 6: Final answer
    x = 2,674.18

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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.