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Finding the Fourth Proportional to 5,056.64, 7,586.04 and 2,866.40

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Solution

The fourth proportional to 5,056.64, 7,586.04 and 2,866.40 is: 4,300.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,056.64 : 7,586.04 = 2,866.40 : x
  2. Step 2: Convert to fraction form
    5,056.64/7,586.04 = 2,866.40/x
  3. Step 3: Cross multiply
    5,056.64x = 7,586.04 × 2,866.40
  4. Step 4: Simplify right side
    5,056.64x = 21,744,625.06
  5. Step 5: Solve for x
    x = 21,744,625.06/5,056.64
  6. Step 6: Final answer
    x = 4,300.21

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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.