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Finding the Fourth Proportional to 4,703.96, 7,059.28 and 1,933.15

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Solution

The fourth proportional to 4,703.96, 7,059.28 and 1,933.15 is: 2,901.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.96 : 7,059.28 = 1,933.15 : x
  2. Step 2: Convert to fraction form
    4,703.96/7,059.28 = 1,933.15/x
  3. Step 3: Cross multiply
    4,703.96x = 7,059.28 × 1,933.15
  4. Step 4: Simplify right side
    4,703.96x = 13,646,647.13
  5. Step 5: Solve for x
    x = 13,646,647.13/4,703.96
  6. Step 6: Final answer
    x = 2,901.10

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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.