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Finding the Fourth Proportional to 5,890.32, 8,816.04 and 5,242.32

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Solution

The fourth proportional to 5,890.32, 8,816.04 and 5,242.32 is: 7,846.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.32 : 8,816.04 = 5,242.32 : x
  2. Step 2: Convert to fraction form
    5,890.32/8,816.04 = 5,242.32/x
  3. Step 3: Cross multiply
    5,890.32x = 8,816.04 × 5,242.32
  4. Step 4: Simplify right side
    5,890.32x = 46,216,502.81
  5. Step 5: Solve for x
    x = 46,216,502.81/5,890.32
  6. Step 6: Final answer
    x = 7,846.18

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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.