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Finding the Fourth Proportional to 4,966.46, 7,479.40 and 4,523.60

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Solution

The fourth proportional to 4,966.46, 7,479.40 and 4,523.60 is: 6,812.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.46 : 7,479.40 = 4,523.60 : x
  2. Step 2: Convert to fraction form
    4,966.46/7,479.40 = 4,523.60/x
  3. Step 3: Cross multiply
    4,966.46x = 7,479.40 × 4,523.60
  4. Step 4: Simplify right side
    4,966.46x = 33,833,813.84
  5. Step 5: Solve for x
    x = 33,833,813.84/4,966.46
  6. Step 6: Final answer
    x = 6,812.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.