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Finding the Fourth Proportional to 5,246.02, 7,869.02 and 1,783.27

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Solution

The fourth proportional to 5,246.02, 7,869.02 and 1,783.27 is: 2,674.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.02 : 7,869.02 = 1,783.27 : x
  2. Step 2: Convert to fraction form
    5,246.02/7,869.02 = 1,783.27/x
  3. Step 3: Cross multiply
    5,246.02x = 7,869.02 × 1,783.27
  4. Step 4: Simplify right side
    5,246.02x = 14,032,559.00
  5. Step 5: Solve for x
    x = 14,032,559.00/5,246.02
  6. Step 6: Final answer
    x = 2,674.90

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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.