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Finding the Fourth Proportional to 2,968.46, 4,457.32 and 2,837.01

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Solution

The fourth proportional to 2,968.46, 4,457.32 and 2,837.01 is: 4,259.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.46 : 4,457.32 = 2,837.01 : x
  2. Step 2: Convert to fraction form
    2,968.46/4,457.32 = 2,837.01/x
  3. Step 3: Cross multiply
    2,968.46x = 4,457.32 × 2,837.01
  4. Step 4: Simplify right side
    2,968.46x = 12,645,461.41
  5. Step 5: Solve for x
    x = 12,645,461.41/2,968.46
  6. Step 6: Final answer
    x = 4,259.94

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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.