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Finding the Fourth Proportional to 5,181.70, 7,153.14 and 3,056.51

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Solution

The fourth proportional to 5,181.70, 7,153.14 and 3,056.51 is: 4,219.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181.70 : 7,153.14 = 3,056.51 : x
  2. Step 2: Convert to fraction form
    5,181.70/7,153.14 = 3,056.51/x
  3. Step 3: Cross multiply
    5,181.70x = 7,153.14 × 3,056.51
  4. Step 4: Simplify right side
    5,181.70x = 21,863,643.94
  5. Step 5: Solve for x
    x = 21,863,643.94/5,181.70
  6. Step 6: Final answer
    x = 4,219.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.