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Finding the Fourth Proportional to 5,886.17, 8,825.58 and 3,111.11

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Solution

The fourth proportional to 5,886.17, 8,825.58 and 3,111.11 is: 4,664.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.17 : 8,825.58 = 3,111.11 : x
  2. Step 2: Convert to fraction form
    5,886.17/8,825.58 = 3,111.11/x
  3. Step 3: Cross multiply
    5,886.17x = 8,825.58 × 3,111.11
  4. Step 4: Simplify right side
    5,886.17x = 27,457,306.07
  5. Step 5: Solve for x
    x = 27,457,306.07/5,886.17
  6. Step 6: Final answer
    x = 4,664.72

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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.