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Finding the Fourth Proportional to 7,203.04, 10,804.56 and 3,733

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Solution

The fourth proportional to 7,203.04, 10,804.56 and 3,733 is: 5,599.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,203.04 : 10,804.56 = 3,733 : x
  2. Step 2: Convert to fraction form
    7,203.04/10,804.56 = 3,733/x
  3. Step 3: Cross multiply
    7,203.04x = 10,804.56 × 3,733
  4. Step 4: Simplify right side
    7,203.04x = 40,333,422.48
  5. Step 5: Solve for x
    x = 40,333,422.48/7,203.04
  6. Step 6: Final answer
    x = 5,599.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.