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Finding the Fourth Proportional to 5,725.83, 7,906.54 and 4,307.07

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Solution

The fourth proportional to 5,725.83, 7,906.54 and 4,307.07 is: 5,947.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725.83 : 7,906.54 = 4,307.07 : x
  2. Step 2: Convert to fraction form
    5,725.83/7,906.54 = 4,307.07/x
  3. Step 3: Cross multiply
    5,725.83x = 7,906.54 × 4,307.07
  4. Step 4: Simplify right side
    5,725.83x = 34,054,021.24
  5. Step 5: Solve for x
    x = 34,054,021.24/5,725.83
  6. Step 6: Final answer
    x = 5,947.44

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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.