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Finding the Fourth Proportional to 5,573.94, 7,691.87 and 3,056.00

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Solution

The fourth proportional to 5,573.94, 7,691.87 and 3,056.00 is: 4,217.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,573.94 : 7,691.87 = 3,056.00 : x
  2. Step 2: Convert to fraction form
    5,573.94/7,691.87 = 3,056.00/x
  3. Step 3: Cross multiply
    5,573.94x = 7,691.87 × 3,056.00
  4. Step 4: Simplify right side
    5,573.94x = 23,506,393.10
  5. Step 5: Solve for x
    x = 23,506,393.10/5,573.94
  6. Step 6: Final answer
    x = 4,217.20

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Why These Related Problems?

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