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Finding the Fourth Proportional to 3,497.15, 5,245.72 and 1,031.99

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Solution

The fourth proportional to 3,497.15, 5,245.72 and 1,031.99 is: 1,547.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.15 : 5,245.72 = 1,031.99 : x
  2. Step 2: Convert to fraction form
    3,497.15/5,245.72 = 1,031.99/x
  3. Step 3: Cross multiply
    3,497.15x = 5,245.72 × 1,031.99
  4. Step 4: Simplify right side
    3,497.15x = 5,413,541.12
  5. Step 5: Solve for x
    x = 5,413,541.12/3,497.15
  6. Step 6: Final answer
    x = 1,547.99

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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.