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Finding the Fourth Proportional to 4,725.99, 7,089.21 and 1,606.14

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Solution

The fourth proportional to 4,725.99, 7,089.21 and 1,606.14 is: 2,409.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725.99 : 7,089.21 = 1,606.14 : x
  2. Step 2: Convert to fraction form
    4,725.99/7,089.21 = 1,606.14/x
  3. Step 3: Cross multiply
    4,725.99x = 7,089.21 × 1,606.14
  4. Step 4: Simplify right side
    4,725.99x = 11,386,263.75
  5. Step 5: Solve for x
    x = 11,386,263.75/4,725.99
  6. Step 6: Final answer
    x = 2,409.29

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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.