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Finding the Fourth Proportional to 5,404.51, 8,108.00 and 1,706.72

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Solution

The fourth proportional to 5,404.51, 8,108.00 and 1,706.72 is: 2,560.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,404.51 : 8,108.00 = 1,706.72 : x
  2. Step 2: Convert to fraction form
    5,404.51/8,108.00 = 1,706.72/x
  3. Step 3: Cross multiply
    5,404.51x = 8,108.00 × 1,706.72
  4. Step 4: Simplify right side
    5,404.51x = 13,838,077.23
  5. Step 5: Solve for x
    x = 13,838,077.23/5,404.51
  6. Step 6: Final answer
    x = 2,560.47

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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.