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Finding the Fourth Proportional to 5,817.42, 8,030.34 and 4,470.39

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Solution

The fourth proportional to 5,817.42, 8,030.34 and 4,470.39 is: 6,170.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817.42 : 8,030.34 = 4,470.39 : x
  2. Step 2: Convert to fraction form
    5,817.42/8,030.34 = 4,470.39/x
  3. Step 3: Cross multiply
    5,817.42x = 8,030.34 × 4,470.39
  4. Step 4: Simplify right side
    5,817.42x = 35,898,751.63
  5. Step 5: Solve for x
    x = 35,898,751.63/5,817.42
  6. Step 6: Final answer
    x = 6,170.91

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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.