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Finding the Fourth Proportional to 3,670.47, 5,506.05 and 1,205.30

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Solution

The fourth proportional to 3,670.47, 5,506.05 and 1,205.30 is: 1,808.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.47 : 5,506.05 = 1,205.30 : x
  2. Step 2: Convert to fraction form
    3,670.47/5,506.05 = 1,205.30/x
  3. Step 3: Cross multiply
    3,670.47x = 5,506.05 × 1,205.30
  4. Step 4: Simplify right side
    3,670.47x = 6,636,442.07
  5. Step 5: Solve for x
    x = 6,636,442.07/3,670.47
  6. Step 6: Final answer
    x = 1,808.06

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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.