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Finding the Fourth Proportional to 4,176.15, 6,266.54 and 1,712.69

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Solution

The fourth proportional to 4,176.15, 6,266.54 and 1,712.69 is: 2,569.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.15 : 6,266.54 = 1,712.69 : x
  2. Step 2: Convert to fraction form
    4,176.15/6,266.54 = 1,712.69/x
  3. Step 3: Cross multiply
    4,176.15x = 6,266.54 × 1,712.69
  4. Step 4: Simplify right side
    4,176.15x = 10,732,640.39
  5. Step 5: Solve for x
    x = 10,732,640.39/4,176.15
  6. Step 6: Final answer
    x = 2,569.98

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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.