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Finding the Fourth Proportional to 3,698.26, 5,547.60 and 1,505.79

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Solution

The fourth proportional to 3,698.26, 5,547.60 and 1,505.79 is: 2,258.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.26 : 5,547.60 = 1,505.79 : x
  2. Step 2: Convert to fraction form
    3,698.26/5,547.60 = 1,505.79/x
  3. Step 3: Cross multiply
    3,698.26x = 5,547.60 × 1,505.79
  4. Step 4: Simplify right side
    3,698.26x = 8,353,520.60
  5. Step 5: Solve for x
    x = 8,353,520.60/3,698.26
  6. Step 6: Final answer
    x = 2,258.77

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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.