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Finding the Fourth Proportional to 4,676.97, 7,009.59 and 2,337.63

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Solution

The fourth proportional to 4,676.97, 7,009.59 and 2,337.63 is: 3,503.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.97 : 7,009.59 = 2,337.63 : x
  2. Step 2: Convert to fraction form
    4,676.97/7,009.59 = 2,337.63/x
  3. Step 3: Cross multiply
    4,676.97x = 7,009.59 × 2,337.63
  4. Step 4: Simplify right side
    4,676.97x = 16,385,827.87
  5. Step 5: Solve for x
    x = 16,385,827.87/4,676.97
  6. Step 6: Final answer
    x = 3,503.51

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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.