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Finding the Fourth Proportional to 4,186.76, 6,279.93 and 1,412.51

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Solution

The fourth proportional to 4,186.76, 6,279.93 and 1,412.51 is: 2,118.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186.76 : 6,279.93 = 1,412.51 : x
  2. Step 2: Convert to fraction form
    4,186.76/6,279.93 = 1,412.51/x
  3. Step 3: Cross multiply
    4,186.76x = 6,279.93 × 1,412.51
  4. Step 4: Simplify right side
    4,186.76x = 8,870,432.52
  5. Step 5: Solve for x
    x = 8,870,432.52/4,186.76
  6. Step 6: Final answer
    x = 2,118.69

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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.