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Finding the Fourth Proportional to 3,518.04, 5,277.60 and 1,209

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Solution

The fourth proportional to 3,518.04, 5,277.60 and 1,209 is: 1,813.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,518.04 : 5,277.60 = 1,209 : x
  2. Step 2: Convert to fraction form
    3,518.04/5,277.60 = 1,209/x
  3. Step 3: Cross multiply
    3,518.04x = 5,277.60 × 1,209
  4. Step 4: Simplify right side
    3,518.04x = 6,380,618.40
  5. Step 5: Solve for x
    x = 6,380,618.40/3,518.04
  6. Step 6: Final answer
    x = 1,813.69

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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.