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Finding the Fourth Proportional to 5,208.94, 7,188.52 and 2,851.08

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Solution

The fourth proportional to 5,208.94, 7,188.52 and 2,851.08 is: 3,934.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.94 : 7,188.52 = 2,851.08 : x
  2. Step 2: Convert to fraction form
    5,208.94/7,188.52 = 2,851.08/x
  3. Step 3: Cross multiply
    5,208.94x = 7,188.52 × 2,851.08
  4. Step 4: Simplify right side
    5,208.94x = 20,495,045.60
  5. Step 5: Solve for x
    x = 20,495,045.60/5,208.94
  6. Step 6: Final answer
    x = 3,934.59

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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.