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Finding the Fourth Proportional to 4,713.49, 6,498.43 and 3,917.50

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Solution

The fourth proportional to 4,713.49, 6,498.43 and 3,917.50 is: 5,401.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.49 : 6,498.43 = 3,917.50 : x
  2. Step 2: Convert to fraction form
    4,713.49/6,498.43 = 3,917.50/x
  3. Step 3: Cross multiply
    4,713.49x = 6,498.43 × 3,917.50
  4. Step 4: Simplify right side
    4,713.49x = 25,457,573.49
  5. Step 5: Solve for x
    x = 25,457,573.49/4,713.49
  6. Step 6: Final answer
    x = 5,401.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.