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Finding the Fourth Proportional to 5,802.32, 8,009.16 and 4,034

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Solution

The fourth proportional to 5,802.32, 8,009.16 and 4,034 is: 5,568.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.32 : 8,009.16 = 4,034 : x
  2. Step 2: Convert to fraction form
    5,802.32/8,009.16 = 4,034/x
  3. Step 3: Cross multiply
    5,802.32x = 8,009.16 × 4,034
  4. Step 4: Simplify right side
    5,802.32x = 32,308,951.44
  5. Step 5: Solve for x
    x = 32,308,951.44/5,802.32
  6. Step 6: Final answer
    x = 5,568.28

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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.