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Finding the Fourth Proportional to 4,676.30, 7,007.16 and 2,210.66

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Solution

The fourth proportional to 4,676.30, 7,007.16 and 2,210.66 is: 3,312.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.30 : 7,007.16 = 2,210.66 : x
  2. Step 2: Convert to fraction form
    4,676.30/7,007.16 = 2,210.66/x
  3. Step 3: Cross multiply
    4,676.30x = 7,007.16 × 2,210.66
  4. Step 4: Simplify right side
    4,676.30x = 15,490,448.33
  5. Step 5: Solve for x
    x = 15,490,448.33/4,676.30
  6. Step 6: Final answer
    x = 3,312.54

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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.