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Finding the Fourth Proportional to 4,671.30, 7,009.65 and 1,751.64

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Solution

The fourth proportional to 4,671.30, 7,009.65 and 1,751.64 is: 2,628.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.30 : 7,009.65 = 1,751.64 : x
  2. Step 2: Convert to fraction form
    4,671.30/7,009.65 = 1,751.64/x
  3. Step 3: Cross multiply
    4,671.30x = 7,009.65 × 1,751.64
  4. Step 4: Simplify right side
    4,671.30x = 12,278,383.33
  5. Step 5: Solve for x
    x = 12,278,383.33/4,671.30
  6. Step 6: Final answer
    x = 2,628.47

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