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Finding the Fourth Proportional to 5,886.32, 8,123.52 and 3,893.40

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Solution

The fourth proportional to 5,886.32, 8,123.52 and 3,893.40 is: 5,373.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.32 : 8,123.52 = 3,893.40 : x
  2. Step 2: Convert to fraction form
    5,886.32/8,123.52 = 3,893.40/x
  3. Step 3: Cross multiply
    5,886.32x = 8,123.52 × 3,893.40
  4. Step 4: Simplify right side
    5,886.32x = 31,628,112.77
  5. Step 5: Solve for x
    x = 31,628,112.77/5,886.32
  6. Step 6: Final answer
    x = 5,373.16

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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.