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Finding the Fourth Proportional to 6,411.96, 8,848.44 and 4,056.03

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Solution

The fourth proportional to 6,411.96, 8,848.44 and 4,056.03 is: 5,597.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.96 : 8,848.44 = 4,056.03 : x
  2. Step 2: Convert to fraction form
    6,411.96/8,848.44 = 4,056.03/x
  3. Step 3: Cross multiply
    6,411.96x = 8,848.44 × 4,056.03
  4. Step 4: Simplify right side
    6,411.96x = 35,889,538.09
  5. Step 5: Solve for x
    x = 35,889,538.09/6,411.96
  6. Step 6: Final answer
    x = 5,597.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.