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Finding the Fourth Proportional to 5,570.66, 8,355.78 and 1,410.82

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Solution

The fourth proportional to 5,570.66, 8,355.78 and 1,410.82 is: 2,116.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,570.66 : 8,355.78 = 1,410.82 : x
  2. Step 2: Convert to fraction form
    5,570.66/8,355.78 = 1,410.82/x
  3. Step 3: Cross multiply
    5,570.66x = 8,355.78 × 1,410.82
  4. Step 4: Simplify right side
    5,570.66x = 11,788,480.65
  5. Step 5: Solve for x
    x = 11,788,480.65/5,570.66
  6. Step 6: Final answer
    x = 2,116.17

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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.