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Finding the Fourth Proportional to 7,200, 9,935.76 and 4,056

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Solution

The fourth proportional to 7,200, 9,935.76 and 4,056 is: 5,597.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,200 : 9,935.76 = 4,056 : x
  2. Step 2: Convert to fraction form
    7,200/9,935.76 = 4,056/x
  3. Step 3: Cross multiply
    7,200x = 9,935.76 × 4,056
  4. Step 4: Simplify right side
    7,200x = 40,299,442.56
  5. Step 5: Solve for x
    x = 40,299,442.56/7,200
  6. Step 6: Final answer
    x = 5,597.14

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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.