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Finding the Fourth Proportional to 4,291.06, 5,914.74 and 3,030.11

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Solution

The fourth proportional to 4,291.06, 5,914.74 and 3,030.11 is: 4,176.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291.06 : 5,914.74 = 3,030.11 : x
  2. Step 2: Convert to fraction form
    4,291.06/5,914.74 = 3,030.11/x
  3. Step 3: Cross multiply
    4,291.06x = 5,914.74 × 3,030.11
  4. Step 4: Simplify right side
    4,291.06x = 17,922,299.75
  5. Step 5: Solve for x
    x = 17,922,299.75/4,291.06
  6. Step 6: Final answer
    x = 4,176.66

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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.