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Finding the Fourth Proportional to 3,364.61, 5,047.47 and 1,173.98

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Solution

The fourth proportional to 3,364.61, 5,047.47 and 1,173.98 is: 1,761.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.61 : 5,047.47 = 1,173.98 : x
  2. Step 2: Convert to fraction form
    3,364.61/5,047.47 = 1,173.98/x
  3. Step 3: Cross multiply
    3,364.61x = 5,047.47 × 1,173.98
  4. Step 4: Simplify right side
    3,364.61x = 5,925,628.83
  5. Step 5: Solve for x
    x = 5,925,628.83/3,364.61
  6. Step 6: Final answer
    x = 1,761.16

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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.