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Finding the Fourth Proportional to 4,696.76, 7,052.04 and 4,613.80

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Solution

The fourth proportional to 4,696.76, 7,052.04 and 4,613.80 is: 6,927.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.76 : 7,052.04 = 4,613.80 : x
  2. Step 2: Convert to fraction form
    4,696.76/7,052.04 = 4,613.80/x
  3. Step 3: Cross multiply
    4,696.76x = 7,052.04 × 4,613.80
  4. Step 4: Simplify right side
    4,696.76x = 32,536,702.15
  5. Step 5: Solve for x
    x = 32,536,702.15/4,696.76
  6. Step 6: Final answer
    x = 6,927.48

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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.