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Finding the Fourth Proportional to 6,552.49, 9,041.75 and 3,827.11

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Solution

The fourth proportional to 6,552.49, 9,041.75 and 3,827.11 is: 5,281.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552.49 : 9,041.75 = 3,827.11 : x
  2. Step 2: Convert to fraction form
    6,552.49/9,041.75 = 3,827.11/x
  3. Step 3: Cross multiply
    6,552.49x = 9,041.75 × 3,827.11
  4. Step 4: Simplify right side
    6,552.49x = 34,603,804.01
  5. Step 5: Solve for x
    x = 34,603,804.01/6,552.49
  6. Step 6: Final answer
    x = 5,281.01

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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.