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Finding the Fourth Proportional to 4,038.56, 6,056.72 and 1,116.64

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Solution

The fourth proportional to 4,038.56, 6,056.72 and 1,116.64 is: 1,674.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,038.56 : 6,056.72 = 1,116.64 : x
  2. Step 2: Convert to fraction form
    4,038.56/6,056.72 = 1,116.64/x
  3. Step 3: Cross multiply
    4,038.56x = 6,056.72 × 1,116.64
  4. Step 4: Simplify right side
    4,038.56x = 6,763,175.82
  5. Step 5: Solve for x
    x = 6,763,175.82/4,038.56
  6. Step 6: Final answer
    x = 1,674.65

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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.