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Finding the Fourth Proportional to 4,875.84, 7,316.64 and 2,412

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Solution

The fourth proportional to 4,875.84, 7,316.64 and 2,412 is: 3,619.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,875.84 : 7,316.64 = 2,412 : x
  2. Step 2: Convert to fraction form
    4,875.84/7,316.64 = 2,412/x
  3. Step 3: Cross multiply
    4,875.84x = 7,316.64 × 2,412
  4. Step 4: Simplify right side
    4,875.84x = 17,647,735.68
  5. Step 5: Solve for x
    x = 17,647,735.68/4,875.84
  6. Step 6: Final answer
    x = 3,619.42

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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.