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Finding the Fourth Proportional to 5,348.89, 7,970.02 and 4,766.95

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Solution

The fourth proportional to 5,348.89, 7,970.02 and 4,766.95 is: 7,102.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,348.89 : 7,970.02 = 4,766.95 : x
  2. Step 2: Convert to fraction form
    5,348.89/7,970.02 = 4,766.95/x
  3. Step 3: Cross multiply
    5,348.89x = 7,970.02 × 4,766.95
  4. Step 4: Simplify right side
    5,348.89x = 37,992,686.84
  5. Step 5: Solve for x
    x = 37,992,686.84/5,348.89
  6. Step 6: Final answer
    x = 7,102.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.