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Finding the Fourth Proportional to 4,288.77, 6,431.84 and 1,514.79

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Solution

The fourth proportional to 4,288.77, 6,431.84 and 1,514.79 is: 2,271.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,288.77 : 6,431.84 = 1,514.79 : x
  2. Step 2: Convert to fraction form
    4,288.77/6,431.84 = 1,514.79/x
  3. Step 3: Cross multiply
    4,288.77x = 6,431.84 × 1,514.79
  4. Step 4: Simplify right side
    4,288.77x = 9,742,863.26
  5. Step 5: Solve for x
    x = 9,742,863.26/4,288.77
  6. Step 6: Final answer
    x = 2,271.72

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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.