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Finding the Fourth Proportional to 5,431.84, 8,146.80 and 1,536.16

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Solution

The fourth proportional to 5,431.84, 8,146.80 and 1,536.16 is: 2,303.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,431.84 : 8,146.80 = 1,536.16 : x
  2. Step 2: Convert to fraction form
    5,431.84/8,146.80 = 1,536.16/x
  3. Step 3: Cross multiply
    5,431.84x = 8,146.80 × 1,536.16
  4. Step 4: Simplify right side
    5,431.84x = 12,514,788.29
  5. Step 5: Solve for x
    x = 12,514,788.29/5,431.84
  6. Step 6: Final answer
    x = 2,303.97

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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.