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Finding the Fourth Proportional to 4,971.93, 7,457.76 and 1,274.01

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Solution

The fourth proportional to 4,971.93, 7,457.76 and 1,274.01 is: 1,910.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.93 : 7,457.76 = 1,274.01 : x
  2. Step 2: Convert to fraction form
    4,971.93/7,457.76 = 1,274.01/x
  3. Step 3: Cross multiply
    4,971.93x = 7,457.76 × 1,274.01
  4. Step 4: Simplify right side
    4,971.93x = 9,501,260.82
  5. Step 5: Solve for x
    x = 9,501,260.82/4,971.93
  6. Step 6: Final answer
    x = 1,910.98

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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.