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Finding the Fourth Proportional to 6,406.96, 8,841.54 and 4,051.04

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Solution

The fourth proportional to 6,406.96, 8,841.54 and 4,051.04 is: 5,590.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.96 : 8,841.54 = 4,051.04 : x
  2. Step 2: Convert to fraction form
    6,406.96/8,841.54 = 4,051.04/x
  3. Step 3: Cross multiply
    6,406.96x = 8,841.54 × 4,051.04
  4. Step 4: Simplify right side
    6,406.96x = 35,817,432.20
  5. Step 5: Solve for x
    x = 35,817,432.20/6,406.96
  6. Step 6: Final answer
    x = 5,590.39

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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.