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Finding the Fourth Proportional to 5,686.88, 8,529.38 and 4,038.44

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Solution

The fourth proportional to 5,686.88, 8,529.38 and 4,038.44 is: 6,056.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.88 : 8,529.38 = 4,038.44 : x
  2. Step 2: Convert to fraction form
    5,686.88/8,529.38 = 4,038.44/x
  3. Step 3: Cross multiply
    5,686.88x = 8,529.38 × 4,038.44
  4. Step 4: Simplify right side
    5,686.88x = 34,445,389.37
  5. Step 5: Solve for x
    x = 34,445,389.37/5,686.88
  6. Step 6: Final answer
    x = 6,056.99

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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.