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Finding the Fourth Proportional to 3,547.53, 5,321.34 and 1,698.30

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Solution

The fourth proportional to 3,547.53, 5,321.34 and 1,698.30 is: 2,547.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.53 : 5,321.34 = 1,698.30 : x
  2. Step 2: Convert to fraction form
    3,547.53/5,321.34 = 1,698.30/x
  3. Step 3: Cross multiply
    3,547.53x = 5,321.34 × 1,698.30
  4. Step 4: Simplify right side
    3,547.53x = 9,037,231.72
  5. Step 5: Solve for x
    x = 9,037,231.72/3,547.53
  6. Step 6: Final answer
    x = 2,547.47

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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.