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Finding the Fourth Proportional to 5,750.78, 8,665.29 and 4,733.60

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Solution

The fourth proportional to 5,750.78, 8,665.29 and 4,733.60 is: 7,132.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,750.78 : 8,665.29 = 4,733.60 : x
  2. Step 2: Convert to fraction form
    5,750.78/8,665.29 = 4,733.60/x
  3. Step 3: Cross multiply
    5,750.78x = 8,665.29 × 4,733.60
  4. Step 4: Simplify right side
    5,750.78x = 41,018,016.74
  5. Step 5: Solve for x
    x = 41,018,016.74/5,750.78
  6. Step 6: Final answer
    x = 7,132.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.