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Finding the Fourth Proportional to 4,725.88, 7,088.85 and 1,605.94

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Solution

The fourth proportional to 4,725.88, 7,088.85 and 1,605.94 is: 2,408.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725.88 : 7,088.85 = 1,605.94 : x
  2. Step 2: Convert to fraction form
    4,725.88/7,088.85 = 1,605.94/x
  3. Step 3: Cross multiply
    4,725.88x = 7,088.85 × 1,605.94
  4. Step 4: Simplify right side
    4,725.88x = 11,384,250.05
  5. Step 5: Solve for x
    x = 11,384,250.05/4,725.88
  6. Step 6: Final answer
    x = 2,408.92

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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.