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Finding the Fourth Proportional to 5,056.72, 7,542.06 and 4,969.20

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Solution

The fourth proportional to 5,056.72, 7,542.06 and 4,969.20 is: 7,411.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,056.72 : 7,542.06 = 4,969.20 : x
  2. Step 2: Convert to fraction form
    5,056.72/7,542.06 = 4,969.20/x
  3. Step 3: Cross multiply
    5,056.72x = 7,542.06 × 4,969.20
  4. Step 4: Simplify right side
    5,056.72x = 37,478,004.55
  5. Step 5: Solve for x
    x = 37,478,004.55/5,056.72
  6. Step 6: Final answer
    x = 7,411.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.