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Finding the Fourth Proportional to 4,655.94, 6,425.19 and 2,768.46

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Solution

The fourth proportional to 4,655.94, 6,425.19 and 2,768.46 is: 3,820.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.94 : 6,425.19 = 2,768.46 : x
  2. Step 2: Convert to fraction form
    4,655.94/6,425.19 = 2,768.46/x
  3. Step 3: Cross multiply
    4,655.94x = 6,425.19 × 2,768.46
  4. Step 4: Simplify right side
    4,655.94x = 17,787,881.51
  5. Step 5: Solve for x
    x = 17,787,881.51/4,655.94
  6. Step 6: Final answer
    x = 3,820.47

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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.