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Finding the Fourth Proportional to 4,705.23, 6,493.06 and 2,580.65

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Solution

The fourth proportional to 4,705.23, 6,493.06 and 2,580.65 is: 3,561.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.23 : 6,493.06 = 2,580.65 : x
  2. Step 2: Convert to fraction form
    4,705.23/6,493.06 = 2,580.65/x
  3. Step 3: Cross multiply
    4,705.23x = 6,493.06 × 2,580.65
  4. Step 4: Simplify right side
    4,705.23x = 16,756,315.29
  5. Step 5: Solve for x
    x = 16,756,315.29/4,705.23
  6. Step 6: Final answer
    x = 3,561.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.