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Finding the Fourth Proportional to 3,674.61, 5,506.16 and 3,124.53

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Solution

The fourth proportional to 3,674.61, 5,506.16 and 3,124.53 is: 4,681.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.61 : 5,506.16 = 3,124.53 : x
  2. Step 2: Convert to fraction form
    3,674.61/5,506.16 = 3,124.53/x
  3. Step 3: Cross multiply
    3,674.61x = 5,506.16 × 3,124.53
  4. Step 4: Simplify right side
    3,674.61x = 17,204,146.48
  5. Step 5: Solve for x
    x = 17,204,146.48/3,674.61
  6. Step 6: Final answer
    x = 4,681.90

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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.