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Finding the Fourth Proportional to 4,735.80, 6,539.54 and 2,970.45

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Solution

The fourth proportional to 4,735.80, 6,539.54 and 2,970.45 is: 4,101.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.80 : 6,539.54 = 2,970.45 : x
  2. Step 2: Convert to fraction form
    4,735.80/6,539.54 = 2,970.45/x
  3. Step 3: Cross multiply
    4,735.80x = 6,539.54 × 2,970.45
  4. Step 4: Simplify right side
    4,735.80x = 19,425,361.74
  5. Step 5: Solve for x
    x = 19,425,361.74/4,735.80
  6. Step 6: Final answer
    x = 4,101.81

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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.