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Finding the Fourth Proportional to 6,032.37, 8,316.91 and 3,904.13

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Solution

The fourth proportional to 6,032.37, 8,316.91 and 3,904.13 is: 5,382.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032.37 : 8,316.91 = 3,904.13 : x
  2. Step 2: Convert to fraction form
    6,032.37/8,316.91 = 3,904.13/x
  3. Step 3: Cross multiply
    6,032.37x = 8,316.91 × 3,904.13
  4. Step 4: Simplify right side
    6,032.37x = 32,470,323.51
  5. Step 5: Solve for x
    x = 32,470,323.51/6,032.37
  6. Step 6: Final answer
    x = 5,382.68

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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.