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Finding the Fourth Proportional to 5,415.83, 8,106.31 and 4,364.01

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Solution

The fourth proportional to 5,415.83, 8,106.31 and 4,364.01 is: 6,531.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.83 : 8,106.31 = 4,364.01 : x
  2. Step 2: Convert to fraction form
    5,415.83/8,106.31 = 4,364.01/x
  3. Step 3: Cross multiply
    5,415.83x = 8,106.31 × 4,364.01
  4. Step 4: Simplify right side
    5,415.83x = 35,376,017.90
  5. Step 5: Solve for x
    x = 35,376,017.90/5,415.83
  6. Step 6: Final answer
    x = 6,531.97

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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.