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Finding the Fourth Proportional to 4,709.05, 7,064.64 and 1,588.95

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Solution

The fourth proportional to 4,709.05, 7,064.64 and 1,588.95 is: 2,383.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.05 : 7,064.64 = 1,588.95 : x
  2. Step 2: Convert to fraction form
    4,709.05/7,064.64 = 1,588.95/x
  3. Step 3: Cross multiply
    4,709.05x = 7,064.64 × 1,588.95
  4. Step 4: Simplify right side
    4,709.05x = 11,225,359.73
  5. Step 5: Solve for x
    x = 11,225,359.73/4,709.05
  6. Step 6: Final answer
    x = 2,383.79

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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.