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Finding the Fourth Proportional to 4,680.36, 6,460.74 and 2,817

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Solution

The fourth proportional to 4,680.36, 6,460.74 and 2,817 is: 3,888.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,680.36 : 6,460.74 = 2,817 : x
  2. Step 2: Convert to fraction form
    4,680.36/6,460.74 = 2,817/x
  3. Step 3: Cross multiply
    4,680.36x = 6,460.74 × 2,817
  4. Step 4: Simplify right side
    4,680.36x = 18,199,904.58
  5. Step 5: Solve for x
    x = 18,199,904.58/4,680.36
  6. Step 6: Final answer
    x = 3,888.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.