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Finding the Fourth Proportional to 5,047.86, 7,573.06 and 2,969.60

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Solution

The fourth proportional to 5,047.86, 7,573.06 and 2,969.60 is: 4,455.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.86 : 7,573.06 = 2,969.60 : x
  2. Step 2: Convert to fraction form
    5,047.86/7,573.06 = 2,969.60/x
  3. Step 3: Cross multiply
    5,047.86x = 7,573.06 × 2,969.60
  4. Step 4: Simplify right side
    5,047.86x = 22,488,970.48
  5. Step 5: Solve for x
    x = 22,488,970.48/5,047.86
  6. Step 6: Final answer
    x = 4,455.15

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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.