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Finding the Fourth Proportional to 5,606.54, 8,409.82 and 1,710.98

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Solution

The fourth proportional to 5,606.54, 8,409.82 and 1,710.98 is: 2,566.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.54 : 8,409.82 = 1,710.98 : x
  2. Step 2: Convert to fraction form
    5,606.54/8,409.82 = 1,710.98/x
  3. Step 3: Cross multiply
    5,606.54x = 8,409.82 × 1,710.98
  4. Step 4: Simplify right side
    5,606.54x = 14,389,033.82
  5. Step 5: Solve for x
    x = 14,389,033.82/5,606.54
  6. Step 6: Final answer
    x = 2,566.47

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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.