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Finding the Fourth Proportional to 5,483.94, 8,226.76 and 1,785.30

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Solution

The fourth proportional to 5,483.94, 8,226.76 and 1,785.30 is: 2,678.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,483.94 : 8,226.76 = 1,785.30 : x
  2. Step 2: Convert to fraction form
    5,483.94/8,226.76 = 1,785.30/x
  3. Step 3: Cross multiply
    5,483.94x = 8,226.76 × 1,785.30
  4. Step 4: Simplify right side
    5,483.94x = 14,687,209.60
  5. Step 5: Solve for x
    x = 14,687,209.60/5,483.94
  6. Step 6: Final answer
    x = 2,678.22

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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.