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Finding the Fourth Proportional to 4,538.53, 6,810.53 and 1,941.47

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Solution

The fourth proportional to 4,538.53, 6,810.53 and 1,941.47 is: 2,913.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538.53 : 6,810.53 = 1,941.47 : x
  2. Step 2: Convert to fraction form
    4,538.53/6,810.53 = 1,941.47/x
  3. Step 3: Cross multiply
    4,538.53x = 6,810.53 × 1,941.47
  4. Step 4: Simplify right side
    4,538.53x = 13,222,432.38
  5. Step 5: Solve for x
    x = 13,222,432.38/4,538.53
  6. Step 6: Final answer
    x = 2,913.37

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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.