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Finding the Fourth Proportional to 5,400.54, 8,102.30 and 1,702.76

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Solution

The fourth proportional to 5,400.54, 8,102.30 and 1,702.76 is: 2,554.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,400.54 : 8,102.30 = 1,702.76 : x
  2. Step 2: Convert to fraction form
    5,400.54/8,102.30 = 1,702.76/x
  3. Step 3: Cross multiply
    5,400.54x = 8,102.30 × 1,702.76
  4. Step 4: Simplify right side
    5,400.54x = 13,796,223.32
  5. Step 5: Solve for x
    x = 13,796,223.32/5,400.54
  6. Step 6: Final answer
    x = 2,554.60

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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.