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Finding the Fourth Proportional to 5,730.37, 7,904.22 and 4,845.04

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Solution

The fourth proportional to 5,730.37, 7,904.22 and 4,845.04 is: 6,683.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.37 : 7,904.22 = 4,845.04 : x
  2. Step 2: Convert to fraction form
    5,730.37/7,904.22 = 4,845.04/x
  3. Step 3: Cross multiply
    5,730.37x = 7,904.22 × 4,845.04
  4. Step 4: Simplify right side
    5,730.37x = 38,296,262.07
  5. Step 5: Solve for x
    x = 38,296,262.07/5,730.37
  6. Step 6: Final answer
    x = 6,683.03

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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.