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Finding the Fourth Proportional to 4,971.92, 7,459.44 and 2,051.60

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Solution

The fourth proportional to 4,971.92, 7,459.44 and 2,051.60 is: 3,078.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.92 : 7,459.44 = 2,051.60 : x
  2. Step 2: Convert to fraction form
    4,971.92/7,459.44 = 2,051.60/x
  3. Step 3: Cross multiply
    4,971.92x = 7,459.44 × 2,051.60
  4. Step 4: Simplify right side
    4,971.92x = 15,303,787.10
  5. Step 5: Solve for x
    x = 15,303,787.10/4,971.92
  6. Step 6: Final answer
    x = 3,078.04

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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.