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Finding the Fourth Proportional to 4,597.67, 6,895.85 and 1,477.27

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Solution

The fourth proportional to 4,597.67, 6,895.85 and 1,477.27 is: 2,215.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.67 : 6,895.85 = 1,477.27 : x
  2. Step 2: Convert to fraction form
    4,597.67/6,895.85 = 1,477.27/x
  3. Step 3: Cross multiply
    4,597.67x = 6,895.85 × 1,477.27
  4. Step 4: Simplify right side
    4,597.67x = 10,187,032.33
  5. Step 5: Solve for x
    x = 10,187,032.33/4,597.67
  6. Step 6: Final answer
    x = 2,215.69

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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.