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Finding the Fourth Proportional to 4,936, 7,407.60 and 1,858

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Solution

The fourth proportional to 4,936, 7,407.60 and 1,858 is: 2,788.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,936 : 7,407.60 = 1,858 : x
  2. Step 2: Convert to fraction form
    4,936/7,407.60 = 1,858/x
  3. Step 3: Cross multiply
    4,936x = 7,407.60 × 1,858
  4. Step 4: Simplify right side
    4,936x = 13,763,320.80
  5. Step 5: Solve for x
    x = 13,763,320.80/4,936
  6. Step 6: Final answer
    x = 2,788.36

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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.