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Finding the Fourth Proportional to 4,679.65, 6,457.91 and 2,583.77

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Solution

The fourth proportional to 4,679.65, 6,457.91 and 2,583.77 is: 3,565.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,679.65 : 6,457.91 = 2,583.77 : x
  2. Step 2: Convert to fraction form
    4,679.65/6,457.91 = 2,583.77/x
  3. Step 3: Cross multiply
    4,679.65x = 6,457.91 × 2,583.77
  4. Step 4: Simplify right side
    4,679.65x = 16,685,788.83
  5. Step 5: Solve for x
    x = 16,685,788.83/4,679.65
  6. Step 6: Final answer
    x = 3,565.61

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Why These Related Problems?

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