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Finding the Fourth Proportional to 5,063.50, 7,598.63 and 1,946.08

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Solution

The fourth proportional to 5,063.50, 7,598.63 and 1,946.08 is: 2,920.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,063.50 : 7,598.63 = 1,946.08 : x
  2. Step 2: Convert to fraction form
    5,063.50/7,598.63 = 1,946.08/x
  3. Step 3: Cross multiply
    5,063.50x = 7,598.63 × 1,946.08
  4. Step 4: Simplify right side
    5,063.50x = 14,787,532.14
  5. Step 5: Solve for x
    x = 14,787,532.14/5,063.50
  6. Step 6: Final answer
    x = 2,920.42

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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.