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Finding the Fourth Proportional to 6,002.51, 8,944.83 and 5,804.06

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Solution

The fourth proportional to 6,002.51, 8,944.83 and 5,804.06 is: 8,649.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.51 : 8,944.83 = 5,804.06 : x
  2. Step 2: Convert to fraction form
    6,002.51/8,944.83 = 5,804.06/x
  3. Step 3: Cross multiply
    6,002.51x = 8,944.83 × 5,804.06
  4. Step 4: Simplify right side
    6,002.51x = 51,916,285.29
  5. Step 5: Solve for x
    x = 51,916,285.29/6,002.51
  6. Step 6: Final answer
    x = 8,649.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.