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Finding the Fourth Proportional to 4,648.88, 6,412.44 and 2,970.80

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Solution

The fourth proportional to 4,648.88, 6,412.44 and 2,970.80 is: 4,097.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.88 : 6,412.44 = 2,970.80 : x
  2. Step 2: Convert to fraction form
    4,648.88/6,412.44 = 2,970.80/x
  3. Step 3: Cross multiply
    4,648.88x = 6,412.44 × 2,970.80
  4. Step 4: Simplify right side
    4,648.88x = 19,050,076.75
  5. Step 5: Solve for x
    x = 19,050,076.75/4,648.88
  6. Step 6: Final answer
    x = 4,097.78

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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.