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Finding the Fourth Proportional to 5,984.42, 8,970.69 and 3,056.18

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Solution

The fourth proportional to 5,984.42, 8,970.69 and 3,056.18 is: 4,581.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.42 : 8,970.69 = 3,056.18 : x
  2. Step 2: Convert to fraction form
    5,984.42/8,970.69 = 3,056.18/x
  3. Step 3: Cross multiply
    5,984.42x = 8,970.69 × 3,056.18
  4. Step 4: Simplify right side
    5,984.42x = 27,416,043.36
  5. Step 5: Solve for x
    x = 27,416,043.36/5,984.42
  6. Step 6: Final answer
    x = 4,581.24

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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.