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Finding the Fourth Proportional to 4,709.07, 7,064.69 and 1,934.42

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Solution

The fourth proportional to 4,709.07, 7,064.69 and 1,934.42 is: 2,902.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.07 : 7,064.69 = 1,934.42 : x
  2. Step 2: Convert to fraction form
    4,709.07/7,064.69 = 1,934.42/x
  3. Step 3: Cross multiply
    4,709.07x = 7,064.69 × 1,934.42
  4. Step 4: Simplify right side
    4,709.07x = 13,666,032.63
  5. Step 5: Solve for x
    x = 13,666,032.63/4,709.07
  6. Step 6: Final answer
    x = 2,902.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.