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Finding the Fourth Proportional to 4,719.06, 7,077.78 and 1,255.50

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Solution

The fourth proportional to 4,719.06, 7,077.78 and 1,255.50 is: 1,883.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,719.06 : 7,077.78 = 1,255.50 : x
  2. Step 2: Convert to fraction form
    4,719.06/7,077.78 = 1,255.50/x
  3. Step 3: Cross multiply
    4,719.06x = 7,077.78 × 1,255.50
  4. Step 4: Simplify right side
    4,719.06x = 8,886,152.79
  5. Step 5: Solve for x
    x = 8,886,152.79/4,719.06
  6. Step 6: Final answer
    x = 1,883.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.