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Finding the Fourth Proportional to 4,973.87, 7,454.08 and 1,894.19

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Solution

The fourth proportional to 4,973.87, 7,454.08 and 1,894.19 is: 2,838.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.87 : 7,454.08 = 1,894.19 : x
  2. Step 2: Convert to fraction form
    4,973.87/7,454.08 = 1,894.19/x
  3. Step 3: Cross multiply
    4,973.87x = 7,454.08 × 1,894.19
  4. Step 4: Simplify right side
    4,973.87x = 14,119,443.80
  5. Step 5: Solve for x
    x = 14,119,443.80/4,973.87
  6. Step 6: Final answer
    x = 2,838.72

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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.