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Finding the Fourth Proportional to 4,804.32, 7,238.64 and 3,989.52

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Solution

The fourth proportional to 4,804.32, 7,238.64 and 3,989.52 is: 6,010.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.32 : 7,238.64 = 3,989.52 : x
  2. Step 2: Convert to fraction form
    4,804.32/7,238.64 = 3,989.52/x
  3. Step 3: Cross multiply
    4,804.32x = 7,238.64 × 3,989.52
  4. Step 4: Simplify right side
    4,804.32x = 28,878,699.05
  5. Step 5: Solve for x
    x = 28,878,699.05/4,804.32
  6. Step 6: Final answer
    x = 6,010.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.