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Finding the Fourth Proportional to 4,056.79, 6,085.18 and 978.79

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Solution

The fourth proportional to 4,056.79, 6,085.18 and 978.79 is: 1,468.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,056.79 : 6,085.18 = 978.79 : x
  2. Step 2: Convert to fraction form
    4,056.79/6,085.18 = 978.79/x
  3. Step 3: Cross multiply
    4,056.79x = 6,085.18 × 978.79
  4. Step 4: Simplify right side
    4,056.79x = 5,956,113.33
  5. Step 5: Solve for x
    x = 5,956,113.33/4,056.79
  6. Step 6: Final answer
    x = 1,468.18

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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.