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Finding the Fourth Proportional to 5,802.30, 8,684.01 and 5,724.54

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Solution

The fourth proportional to 5,802.30, 8,684.01 and 5,724.54 is: 8,567.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.30 : 8,684.01 = 5,724.54 : x
  2. Step 2: Convert to fraction form
    5,802.30/8,684.01 = 5,724.54/x
  3. Step 3: Cross multiply
    5,802.30x = 8,684.01 × 5,724.54
  4. Step 4: Simplify right side
    5,802.30x = 49,711,962.61
  5. Step 5: Solve for x
    x = 49,711,962.61/5,802.30
  6. Step 6: Final answer
    x = 8,567.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.