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Finding the Fourth Proportional to 5,714.83, 7,886.59 and 4,039.19

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Solution

The fourth proportional to 5,714.83, 7,886.59 and 4,039.19 is: 5,574.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.83 : 7,886.59 = 4,039.19 : x
  2. Step 2: Convert to fraction form
    5,714.83/7,886.59 = 4,039.19/x
  3. Step 3: Cross multiply
    5,714.83x = 7,886.59 × 4,039.19
  4. Step 4: Simplify right side
    5,714.83x = 31,855,435.46
  5. Step 5: Solve for x
    x = 31,855,435.46/5,714.83
  6. Step 6: Final answer
    x = 5,574.17

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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.