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Finding the Fourth Proportional to 3,497.10, 5,246.37 and 1,031.68

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Solution

The fourth proportional to 3,497.10, 5,246.37 and 1,031.68 is: 1,547.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.10 : 5,246.37 = 1,031.68 : x
  2. Step 2: Convert to fraction form
    3,497.10/5,246.37 = 1,031.68/x
  3. Step 3: Cross multiply
    3,497.10x = 5,246.37 × 1,031.68
  4. Step 4: Simplify right side
    3,497.10x = 5,412,569.84
  5. Step 5: Solve for x
    x = 5,412,569.84/3,497.10
  6. Step 6: Final answer
    x = 1,547.73

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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.