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Finding the Fourth Proportional to 3,417.66, 5,124.06 and 1,225.80

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Solution

The fourth proportional to 3,417.66, 5,124.06 and 1,225.80 is: 1,837.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.66 : 5,124.06 = 1,225.80 : x
  2. Step 2: Convert to fraction form
    3,417.66/5,124.06 = 1,225.80/x
  3. Step 3: Cross multiply
    3,417.66x = 5,124.06 × 1,225.80
  4. Step 4: Simplify right side
    3,417.66x = 6,281,072.75
  5. Step 5: Solve for x
    x = 6,281,072.75/3,417.66
  6. Step 6: Final answer
    x = 1,837.83

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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.