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Finding the Fourth Proportional to 6,199.56, 8,549.52 and 4,071.35

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Solution

The fourth proportional to 6,199.56, 8,549.52 and 4,071.35 is: 5,614.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.56 : 8,549.52 = 4,071.35 : x
  2. Step 2: Convert to fraction form
    6,199.56/8,549.52 = 4,071.35/x
  3. Step 3: Cross multiply
    6,199.56x = 8,549.52 × 4,071.35
  4. Step 4: Simplify right side
    6,199.56x = 34,808,045.50
  5. Step 5: Solve for x
    x = 34,808,045.50/6,199.56
  6. Step 6: Final answer
    x = 5,614.60

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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.