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Finding the Fourth Proportional to 4,212.76, 6,316.84 and 1,290.28

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Solution

The fourth proportional to 4,212.76, 6,316.84 and 1,290.28 is: 1,934.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212.76 : 6,316.84 = 1,290.28 : x
  2. Step 2: Convert to fraction form
    4,212.76/6,316.84 = 1,290.28/x
  3. Step 3: Cross multiply
    4,212.76x = 6,316.84 × 1,290.28
  4. Step 4: Simplify right side
    4,212.76x = 8,150,492.32
  5. Step 5: Solve for x
    x = 8,150,492.32/4,212.76
  6. Step 6: Final answer
    x = 1,934.72

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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.