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Finding the Fourth Proportional to 7,710.20, 11,561.88 and 3,549.20

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Solution

The fourth proportional to 7,710.20, 11,561.88 and 3,549.20 is: 5,322.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.20 : 11,561.88 = 3,549.20 : x
  2. Step 2: Convert to fraction form
    7,710.20/11,561.88 = 3,549.20/x
  3. Step 3: Cross multiply
    7,710.20x = 11,561.88 × 3,549.20
  4. Step 4: Simplify right side
    7,710.20x = 41,035,424.50
  5. Step 5: Solve for x
    x = 41,035,424.50/7,710.20
  6. Step 6: Final answer
    x = 5,322.23

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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.