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Finding the Fourth Proportional to 4,569.04, 6,846.69 and 3,527.47

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Solution

The fourth proportional to 4,569.04, 6,846.69 and 3,527.47 is: 5,285.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569.04 : 6,846.69 = 3,527.47 : x
  2. Step 2: Convert to fraction form
    4,569.04/6,846.69 = 3,527.47/x
  3. Step 3: Cross multiply
    4,569.04x = 6,846.69 × 3,527.47
  4. Step 4: Simplify right side
    4,569.04x = 24,151,493.57
  5. Step 5: Solve for x
    x = 24,151,493.57/4,569.04
  6. Step 6: Final answer
    x = 5,285.90

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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.