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Finding the Fourth Proportional to 5,888.16, 8,116.20 and 4,896.72

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Solution

The fourth proportional to 5,888.16, 8,116.20 and 4,896.72 is: 6,749.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,888.16 : 8,116.20 = 4,896.72 : x
  2. Step 2: Convert to fraction form
    5,888.16/8,116.20 = 4,896.72/x
  3. Step 3: Cross multiply
    5,888.16x = 8,116.20 × 4,896.72
  4. Step 4: Simplify right side
    5,888.16x = 39,742,758.86
  5. Step 5: Solve for x
    x = 39,742,758.86/5,888.16
  6. Step 6: Final answer
    x = 6,749.61

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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.