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Finding the Fourth Proportional to 5,606.67, 8,410.91 and 1,710.75

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Solution

The fourth proportional to 5,606.67, 8,410.91 and 1,710.75 is: 2,566.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.67 : 8,410.91 = 1,710.75 : x
  2. Step 2: Convert to fraction form
    5,606.67/8,410.91 = 1,710.75/x
  3. Step 3: Cross multiply
    5,606.67x = 8,410.91 × 1,710.75
  4. Step 4: Simplify right side
    5,606.67x = 14,388,955.73
  5. Step 5: Solve for x
    x = 14,388,955.73/5,606.67
  6. Step 6: Final answer
    x = 2,566.40

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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.