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Finding the Fourth Proportional to 4,705.07, 7,059.14 and 1,933.04

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Solution

The fourth proportional to 4,705.07, 7,059.14 and 1,933.04 is: 2,900.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.07 : 7,059.14 = 1,933.04 : x
  2. Step 2: Convert to fraction form
    4,705.07/7,059.14 = 1,933.04/x
  3. Step 3: Cross multiply
    4,705.07x = 7,059.14 × 1,933.04
  4. Step 4: Simplify right side
    4,705.07x = 13,645,617.63
  5. Step 5: Solve for x
    x = 13,645,617.63/4,705.07
  6. Step 6: Final answer
    x = 2,900.20

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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.