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Finding the Fourth Proportional to 4,932.63, 6,805.98 and 3,440.00

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Solution

The fourth proportional to 4,932.63, 6,805.98 and 3,440.00 is: 4,746.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.63 : 6,805.98 = 3,440.00 : x
  2. Step 2: Convert to fraction form
    4,932.63/6,805.98 = 3,440.00/x
  3. Step 3: Cross multiply
    4,932.63x = 6,805.98 × 3,440.00
  4. Step 4: Simplify right side
    4,932.63x = 23,412,588.21
  5. Step 5: Solve for x
    x = 23,412,588.21/4,932.63
  6. Step 6: Final answer
    x = 4,746.47

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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.