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Finding the Fourth Proportional to 3,506.04, 5,257.98 and 1,197

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Solution

The fourth proportional to 3,506.04, 5,257.98 and 1,197 is: 1,795.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.04 : 5,257.98 = 1,197 : x
  2. Step 2: Convert to fraction form
    3,506.04/5,257.98 = 1,197/x
  3. Step 3: Cross multiply
    3,506.04x = 5,257.98 × 1,197
  4. Step 4: Simplify right side
    3,506.04x = 6,293,802.06
  5. Step 5: Solve for x
    x = 6,293,802.06/3,506.04
  6. Step 6: Final answer
    x = 1,795.13

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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.