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Finding the Fourth Proportional to 5,140.58, 7,093.95 and 2,782.71

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Solution

The fourth proportional to 5,140.58, 7,093.95 and 2,782.71 is: 3,840.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.58 : 7,093.95 = 2,782.71 : x
  2. Step 2: Convert to fraction form
    5,140.58/7,093.95 = 2,782.71/x
  3. Step 3: Cross multiply
    5,140.58x = 7,093.95 × 2,782.71
  4. Step 4: Simplify right side
    5,140.58x = 19,740,405.60
  5. Step 5: Solve for x
    x = 19,740,405.60/5,140.58
  6. Step 6: Final answer
    x = 3,840.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.