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Finding the Fourth Proportional to 5,101.63, 7,653.80 and 4,065.55

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Solution

The fourth proportional to 5,101.63, 7,653.80 and 4,065.55 is: 6,099.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.63 : 7,653.80 = 4,065.55 : x
  2. Step 2: Convert to fraction form
    5,101.63/7,653.80 = 4,065.55/x
  3. Step 3: Cross multiply
    5,101.63x = 7,653.80 × 4,065.55
  4. Step 4: Simplify right side
    5,101.63x = 31,116,897.62
  5. Step 5: Solve for x
    x = 31,116,897.62/5,101.63
  6. Step 6: Final answer
    x = 6,099.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.