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Finding the Fourth Proportional to 5,140.08, 7,710.48 and 1,851.84

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Solution

The fourth proportional to 5,140.08, 7,710.48 and 1,851.84 is: 2,777.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.08 : 7,710.48 = 1,851.84 : x
  2. Step 2: Convert to fraction form
    5,140.08/7,710.48 = 1,851.84/x
  3. Step 3: Cross multiply
    5,140.08x = 7,710.48 × 1,851.84
  4. Step 4: Simplify right side
    5,140.08x = 14,278,575.28
  5. Step 5: Solve for x
    x = 14,278,575.28/5,140.08
  6. Step 6: Final answer
    x = 2,777.89

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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.