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Finding the Fourth Proportional to 3,506.96, 5,260.54 and 1,200.08

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Solution

The fourth proportional to 3,506.96, 5,260.54 and 1,200.08 is: 1,800.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.96 : 5,260.54 = 1,200.08 : x
  2. Step 2: Convert to fraction form
    3,506.96/5,260.54 = 1,200.08/x
  3. Step 3: Cross multiply
    3,506.96x = 5,260.54 × 1,200.08
  4. Step 4: Simplify right side
    3,506.96x = 6,313,068.84
  5. Step 5: Solve for x
    x = 6,313,068.84/3,506.96
  6. Step 6: Final answer
    x = 1,800.15

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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.