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Finding the Fourth Proportional to 5,128, 7,695.27 and 1,841.02

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Solution

The fourth proportional to 5,128, 7,695.27 and 1,841.02 is: 2,762.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,128 : 7,695.27 = 1,841.02 : x
  2. Step 2: Convert to fraction form
    5,128/7,695.27 = 1,841.02/x
  3. Step 3: Cross multiply
    5,128x = 7,695.27 × 1,841.02
  4. Step 4: Simplify right side
    5,128x = 14,167,145.98
  5. Step 5: Solve for x
    x = 14,167,145.98/5,128
  6. Step 6: Final answer
    x = 2,762.70

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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.