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Finding the Fourth Proportional to 4,597.41, 6,896.13 and 1,134.66

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Solution

The fourth proportional to 4,597.41, 6,896.13 and 1,134.66 is: 1,701.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.41 : 6,896.13 = 1,134.66 : x
  2. Step 2: Convert to fraction form
    4,597.41/6,896.13 = 1,134.66/x
  3. Step 3: Cross multiply
    4,597.41x = 6,896.13 × 1,134.66
  4. Step 4: Simplify right side
    4,597.41x = 7,824,762.87
  5. Step 5: Solve for x
    x = 7,824,762.87/4,597.41
  6. Step 6: Final answer
    x = 1,701.99

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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.