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Finding the Fourth Proportional to 3,530.47, 5,299.53 and 2,655.47

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Solution

The fourth proportional to 3,530.47, 5,299.53 and 2,655.47 is: 3,986.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.47 : 5,299.53 = 2,655.47 : x
  2. Step 2: Convert to fraction form
    3,530.47/5,299.53 = 2,655.47/x
  3. Step 3: Cross multiply
    3,530.47x = 5,299.53 × 2,655.47
  4. Step 4: Simplify right side
    3,530.47x = 14,072,703.15
  5. Step 5: Solve for x
    x = 14,072,703.15/3,530.47
  6. Step 6: Final answer
    x = 3,986.08

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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.