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Finding the Fourth Proportional to 4,974.51, 7,457.10 and 1,685.30

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Solution

The fourth proportional to 4,974.51, 7,457.10 and 1,685.30 is: 2,526.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.51 : 7,457.10 = 1,685.30 : x
  2. Step 2: Convert to fraction form
    4,974.51/7,457.10 = 1,685.30/x
  3. Step 3: Cross multiply
    4,974.51x = 7,457.10 × 1,685.30
  4. Step 4: Simplify right side
    4,974.51x = 12,567,450.63
  5. Step 5: Solve for x
    x = 12,567,450.63/4,974.51
  6. Step 6: Final answer
    x = 2,526.37

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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.