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Finding the Fourth Proportional to 4,483.71, 6,728.40 and 1,710.68

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Solution

The fourth proportional to 4,483.71, 6,728.40 and 1,710.68 is: 2,567.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,483.71 : 6,728.40 = 1,710.68 : x
  2. Step 2: Convert to fraction form
    4,483.71/6,728.40 = 1,710.68/x
  3. Step 3: Cross multiply
    4,483.71x = 6,728.40 × 1,710.68
  4. Step 4: Simplify right side
    4,483.71x = 11,510,105.67
  5. Step 5: Solve for x
    x = 11,510,105.67/4,483.71
  6. Step 6: Final answer
    x = 2,567.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.