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Finding the Fourth Proportional to 4,613.79, 6,915.93 and 1,836.69

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Solution

The fourth proportional to 4,613.79, 6,915.93 and 1,836.69 is: 2,753.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,613.79 : 6,915.93 = 1,836.69 : x
  2. Step 2: Convert to fraction form
    4,613.79/6,915.93 = 1,836.69/x
  3. Step 3: Cross multiply
    4,613.79x = 6,915.93 × 1,836.69
  4. Step 4: Simplify right side
    4,613.79x = 12,702,419.47
  5. Step 5: Solve for x
    x = 12,702,419.47/4,613.79
  6. Step 6: Final answer
    x = 2,753.14

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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.