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Finding the Fourth Proportional to 5,102.34, 7,656.38 and 2,762.30

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Solution

The fourth proportional to 5,102.34, 7,656.38 and 2,762.30 is: 4,145.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.34 : 7,656.38 = 2,762.30 : x
  2. Step 2: Convert to fraction form
    5,102.34/7,656.38 = 2,762.30/x
  3. Step 3: Cross multiply
    5,102.34x = 7,656.38 × 2,762.30
  4. Step 4: Simplify right side
    5,102.34x = 21,149,218.47
  5. Step 5: Solve for x
    x = 21,149,218.47/5,102.34
  6. Step 6: Final answer
    x = 4,145.00

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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.