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Finding the Fourth Proportional to 3,698.21, 5,547.38 and 1,505.40

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Solution

The fourth proportional to 3,698.21, 5,547.38 and 1,505.40 is: 2,258.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.21 : 5,547.38 = 1,505.40 : x
  2. Step 2: Convert to fraction form
    3,698.21/5,547.38 = 1,505.40/x
  3. Step 3: Cross multiply
    3,698.21x = 5,547.38 × 1,505.40
  4. Step 4: Simplify right side
    3,698.21x = 8,351,018.33
  5. Step 5: Solve for x
    x = 8,351,018.33/3,698.21
  6. Step 6: Final answer
    x = 2,258.13

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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.