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Finding the Fourth Proportional to 5,156.01, 7,733.93 and 1,646.24

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Solution

The fourth proportional to 5,156.01, 7,733.93 and 1,646.24 is: 2,469.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.01 : 7,733.93 = 1,646.24 : x
  2. Step 2: Convert to fraction form
    5,156.01/7,733.93 = 1,646.24/x
  3. Step 3: Cross multiply
    5,156.01x = 7,733.93 × 1,646.24
  4. Step 4: Simplify right side
    5,156.01x = 12,731,858.02
  5. Step 5: Solve for x
    x = 12,731,858.02/5,156.01
  6. Step 6: Final answer
    x = 2,469.32

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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.