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Finding the Fourth Proportional to 5,269.41, 7,902.72 and 1,570.64

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Solution

The fourth proportional to 5,269.41, 7,902.72 and 1,570.64 is: 2,355.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269.41 : 7,902.72 = 1,570.64 : x
  2. Step 2: Convert to fraction form
    5,269.41/7,902.72 = 1,570.64/x
  3. Step 3: Cross multiply
    5,269.41x = 7,902.72 × 1,570.64
  4. Step 4: Simplify right side
    5,269.41x = 12,412,288.63
  5. Step 5: Solve for x
    x = 12,412,288.63/5,269.41
  6. Step 6: Final answer
    x = 2,355.54

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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.