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Finding the Fourth Proportional to 4,894.70, 7,338.39 and 2,946.45

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Solution

The fourth proportional to 4,894.70, 7,338.39 and 2,946.45 is: 4,417.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.70 : 7,338.39 = 2,946.45 : x
  2. Step 2: Convert to fraction form
    4,894.70/7,338.39 = 2,946.45/x
  3. Step 3: Cross multiply
    4,894.70x = 7,338.39 × 2,946.45
  4. Step 4: Simplify right side
    4,894.70x = 21,622,199.22
  5. Step 5: Solve for x
    x = 21,622,199.22/4,894.70
  6. Step 6: Final answer
    x = 4,417.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.