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Finding the Fourth Proportional to 5,402.48, 8,103.72 and 1,705.00

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Solution

The fourth proportional to 5,402.48, 8,103.72 and 1,705.00 is: 2,557.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.48 : 8,103.72 = 1,705.00 : x
  2. Step 2: Convert to fraction form
    5,402.48/8,103.72 = 1,705.00/x
  3. Step 3: Cross multiply
    5,402.48x = 8,103.72 × 1,705.00
  4. Step 4: Simplify right side
    5,402.48x = 13,816,801.55
  5. Step 5: Solve for x
    x = 13,816,801.55/5,402.48
  6. Step 6: Final answer
    x = 2,557.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.