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Finding the Fourth Proportional to 5,412.81, 8,117.97 and 1,714.35

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Solution

The fourth proportional to 5,412.81, 8,117.97 and 1,714.35 is: 2,571.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.81 : 8,117.97 = 1,714.35 : x
  2. Step 2: Convert to fraction form
    5,412.81/8,117.97 = 1,714.35/x
  3. Step 3: Cross multiply
    5,412.81x = 8,117.97 × 1,714.35
  4. Step 4: Simplify right side
    5,412.81x = 13,917,041.87
  5. Step 5: Solve for x
    x = 13,917,041.87/5,412.81
  6. Step 6: Final answer
    x = 2,571.13

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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.