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Finding the Fourth Proportional to 4,969.58, 7,457.78 and 2,047.88

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Solution

The fourth proportional to 4,969.58, 7,457.78 and 2,047.88 is: 3,073.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.58 : 7,457.78 = 2,047.88 : x
  2. Step 2: Convert to fraction form
    4,969.58/7,457.78 = 2,047.88/x
  3. Step 3: Cross multiply
    4,969.58x = 7,457.78 × 2,047.88
  4. Step 4: Simplify right side
    4,969.58x = 15,272,638.51
  5. Step 5: Solve for x
    x = 15,272,638.51/4,969.58
  6. Step 6: Final answer
    x = 3,073.23

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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.