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Finding the Fourth Proportional to 6,094.86, 8,404.64 and 3,970.50

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Solution

The fourth proportional to 6,094.86, 8,404.64 and 3,970.50 is: 5,475.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.86 : 8,404.64 = 3,970.50 : x
  2. Step 2: Convert to fraction form
    6,094.86/8,404.64 = 3,970.50/x
  3. Step 3: Cross multiply
    6,094.86x = 8,404.64 × 3,970.50
  4. Step 4: Simplify right side
    6,094.86x = 33,370,623.12
  5. Step 5: Solve for x
    x = 33,370,623.12/6,094.86
  6. Step 6: Final answer
    x = 5,475.21

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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.