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Finding the Fourth Proportional to 4,994, 7,494.24 and 1,916

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Solution

The fourth proportional to 4,994, 7,494.24 and 1,916 is: 2,875.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,994 : 7,494.24 = 1,916 : x
  2. Step 2: Convert to fraction form
    4,994/7,494.24 = 1,916/x
  3. Step 3: Cross multiply
    4,994x = 7,494.24 × 1,916
  4. Step 4: Simplify right side
    4,994x = 14,358,963.84
  5. Step 5: Solve for x
    x = 14,358,963.84/4,994
  6. Step 6: Final answer
    x = 2,875.24

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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.