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Finding the Fourth Proportional to 5,056.56, 7,585.68 and 1,594.56

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Solution

The fourth proportional to 5,056.56, 7,585.68 and 1,594.56 is: 2,392.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,056.56 : 7,585.68 = 1,594.56 : x
  2. Step 2: Convert to fraction form
    5,056.56/7,585.68 = 1,594.56/x
  3. Step 3: Cross multiply
    5,056.56x = 7,585.68 × 1,594.56
  4. Step 4: Simplify right side
    5,056.56x = 12,095,821.90
  5. Step 5: Solve for x
    x = 12,095,821.90/5,056.56
  6. Step 6: Final answer
    x = 2,392.10

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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.