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Finding the Fourth Proportional to 5,836.40, 8,064.72 and 4,436.72

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Solution

The fourth proportional to 5,836.40, 8,064.72 and 4,436.72 is: 6,130.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.40 : 8,064.72 = 4,436.72 : x
  2. Step 2: Convert to fraction form
    5,836.40/8,064.72 = 4,436.72/x
  3. Step 3: Cross multiply
    5,836.40x = 8,064.72 × 4,436.72
  4. Step 4: Simplify right side
    5,836.40x = 35,780,904.52
  5. Step 5: Solve for x
    x = 35,780,904.52/5,836.40
  6. Step 6: Final answer
    x = 6,130.65

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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.