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Finding the Fourth Proportional to 3,547.36, 5,321.76 and 1,468.48

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Solution

The fourth proportional to 3,547.36, 5,321.76 and 1,468.48 is: 2,203.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.36 : 5,321.76 = 1,468.48 : x
  2. Step 2: Convert to fraction form
    3,547.36/5,321.76 = 1,468.48/x
  3. Step 3: Cross multiply
    3,547.36x = 5,321.76 × 1,468.48
  4. Step 4: Simplify right side
    3,547.36x = 7,814,898.12
  5. Step 5: Solve for x
    x = 7,814,898.12/3,547.36
  6. Step 6: Final answer
    x = 2,203.02

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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.