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Finding the Fourth Proportional to 5,764.02, 7,946.46 and 4,921.08

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Solution

The fourth proportional to 5,764.02, 7,946.46 and 4,921.08 is: 6,784.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.02 : 7,946.46 = 4,921.08 : x
  2. Step 2: Convert to fraction form
    5,764.02/7,946.46 = 4,921.08/x
  3. Step 3: Cross multiply
    5,764.02x = 7,946.46 × 4,921.08
  4. Step 4: Simplify right side
    5,764.02x = 39,105,165.38
  5. Step 5: Solve for x
    x = 39,105,165.38/5,764.02
  6. Step 6: Final answer
    x = 6,784.36

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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.