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Finding the Fourth Proportional to 6,094.60, 8,409.90 and 4,502.08

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Solution

The fourth proportional to 6,094.60, 8,409.90 and 4,502.08 is: 6,212.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.60 : 8,409.90 = 4,502.08 : x
  2. Step 2: Convert to fraction form
    6,094.60/8,409.90 = 4,502.08/x
  3. Step 3: Cross multiply
    6,094.60x = 8,409.90 × 4,502.08
  4. Step 4: Simplify right side
    6,094.60x = 37,862,042.59
  5. Step 5: Solve for x
    x = 37,862,042.59/6,094.60
  6. Step 6: Final answer
    x = 6,212.39

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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.