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Finding the Fourth Proportional to 4,570.59, 6,855.90 and 1,650.96

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Solution

The fourth proportional to 4,570.59, 6,855.90 and 1,650.96 is: 2,476.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.59 : 6,855.90 = 1,650.96 : x
  2. Step 2: Convert to fraction form
    4,570.59/6,855.90 = 1,650.96/x
  3. Step 3: Cross multiply
    4,570.59x = 6,855.90 × 1,650.96
  4. Step 4: Simplify right side
    4,570.59x = 11,318,816.66
  5. Step 5: Solve for x
    x = 11,318,816.66/4,570.59
  6. Step 6: Final answer
    x = 2,476.45

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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.