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Finding the Fourth Proportional to 4,768.34, 6,580.31 and 2,905.34

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Solution

The fourth proportional to 4,768.34, 6,580.31 and 2,905.34 is: 4,009.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.34 : 6,580.31 = 2,905.34 : x
  2. Step 2: Convert to fraction form
    4,768.34/6,580.31 = 2,905.34/x
  3. Step 3: Cross multiply
    4,768.34x = 6,580.31 × 2,905.34
  4. Step 4: Simplify right side
    4,768.34x = 19,118,037.86
  5. Step 5: Solve for x
    x = 19,118,037.86/4,768.34
  6. Step 6: Final answer
    x = 4,009.37

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1.5x scale

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.