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Finding the Fourth Proportional to 4,065.74, 6,096.32 and 1,291.89

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Solution

The fourth proportional to 4,065.74, 6,096.32 and 1,291.89 is: 1,937.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065.74 : 6,096.32 = 1,291.89 : x
  2. Step 2: Convert to fraction form
    4,065.74/6,096.32 = 1,291.89/x
  3. Step 3: Cross multiply
    4,065.74x = 6,096.32 × 1,291.89
  4. Step 4: Simplify right side
    4,065.74x = 7,875,768.39
  5. Step 5: Solve for x
    x = 7,875,768.39/4,065.74
  6. Step 6: Final answer
    x = 1,937.11

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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.