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Finding the Fourth Proportional to 3,735.60, 5,160 and 3,030.06

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Solution

The fourth proportional to 3,735.60, 5,160 and 3,030.06 is: 4,185.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.60 : 5,160 = 3,030.06 : x
  2. Step 2: Convert to fraction form
    3,735.60/5,160 = 3,030.06/x
  3. Step 3: Cross multiply
    3,735.60x = 5,160 × 3,030.06
  4. Step 4: Simplify right side
    3,735.60x = 15,635,109.60
  5. Step 5: Solve for x
    x = 15,635,109.60/3,735.60
  6. Step 6: Final answer
    x = 4,185.43

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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.