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Finding the Fourth Proportional to 5,823.76, 8,045.12 and 4,514.32

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Solution

The fourth proportional to 5,823.76, 8,045.12 and 4,514.32 is: 6,236.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.76 : 8,045.12 = 4,514.32 : x
  2. Step 2: Convert to fraction form
    5,823.76/8,045.12 = 4,514.32/x
  3. Step 3: Cross multiply
    5,823.76x = 8,045.12 × 4,514.32
  4. Step 4: Simplify right side
    5,823.76x = 36,318,246.12
  5. Step 5: Solve for x
    x = 36,318,246.12/5,823.76
  6. Step 6: Final answer
    x = 6,236.22

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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.