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Finding the Fourth Proportional to 4,969.74, 7,457.38 and 4,242.63

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Solution

The fourth proportional to 4,969.74, 7,457.38 and 4,242.63 is: 6,366.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.74 : 7,457.38 = 4,242.63 : x
  2. Step 2: Convert to fraction form
    4,969.74/7,457.38 = 4,242.63/x
  3. Step 3: Cross multiply
    4,969.74x = 7,457.38 × 4,242.63
  4. Step 4: Simplify right side
    4,969.74x = 31,638,904.11
  5. Step 5: Solve for x
    x = 31,638,904.11/4,969.74
  6. Step 6: Final answer
    x = 6,366.31

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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.