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Finding the Fourth Proportional to 4,684.74, 7,018.89 and 4,176.30

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Solution

The fourth proportional to 4,684.74, 7,018.89 and 4,176.30 is: 6,257.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.74 : 7,018.89 = 4,176.30 : x
  2. Step 2: Convert to fraction form
    4,684.74/7,018.89 = 4,176.30/x
  3. Step 3: Cross multiply
    4,684.74x = 7,018.89 × 4,176.30
  4. Step 4: Simplify right side
    4,684.74x = 29,312,990.31
  5. Step 5: Solve for x
    x = 29,312,990.31/4,684.74
  6. Step 6: Final answer
    x = 6,257.12

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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.