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Finding the Fourth Proportional to 5,056.71, 7,585.71 and 1,725.59

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Solution

The fourth proportional to 5,056.71, 7,585.71 and 1,725.59 is: 2,588.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,056.71 : 7,585.71 = 1,725.59 : x
  2. Step 2: Convert to fraction form
    5,056.71/7,585.71 = 1,725.59/x
  3. Step 3: Cross multiply
    5,056.71x = 7,585.71 × 1,725.59
  4. Step 4: Simplify right side
    5,056.71x = 13,089,853.72
  5. Step 5: Solve for x
    x = 13,089,853.72/5,056.71
  6. Step 6: Final answer
    x = 2,588.61

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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.