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Finding the Fourth Proportional to 4,564.80, 6,847.18 and 1,102.05

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Solution

The fourth proportional to 4,564.80, 6,847.18 and 1,102.05 is: 1,653.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.80 : 6,847.18 = 1,102.05 : x
  2. Step 2: Convert to fraction form
    4,564.80/6,847.18 = 1,102.05/x
  3. Step 3: Cross multiply
    4,564.80x = 6,847.18 × 1,102.05
  4. Step 4: Simplify right side
    4,564.80x = 7,545,934.72
  5. Step 5: Solve for x
    x = 7,545,934.72/4,564.80
  6. Step 6: Final answer
    x = 1,653.07

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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.