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Finding the Fourth Proportional to 5,446.63, 7,514.64 and 3,088.32

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Solution

The fourth proportional to 5,446.63, 7,514.64 and 3,088.32 is: 4,260.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.63 : 7,514.64 = 3,088.32 : x
  2. Step 2: Convert to fraction form
    5,446.63/7,514.64 = 3,088.32/x
  3. Step 3: Cross multiply
    5,446.63x = 7,514.64 × 3,088.32
  4. Step 4: Simplify right side
    5,446.63x = 23,207,613.00
  5. Step 5: Solve for x
    x = 23,207,613.00/5,446.63
  6. Step 6: Final answer
    x = 4,260.91

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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.