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Finding the Fourth Proportional to 5,702.16, 8,554.34 and 2,582.24

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Solution

The fourth proportional to 5,702.16, 8,554.34 and 2,582.24 is: 3,873.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.16 : 8,554.34 = 2,582.24 : x
  2. Step 2: Convert to fraction form
    5,702.16/8,554.34 = 2,582.24/x
  3. Step 3: Cross multiply
    5,702.16x = 8,554.34 × 2,582.24
  4. Step 4: Simplify right side
    5,702.16x = 22,089,358.92
  5. Step 5: Solve for x
    x = 22,089,358.92/5,702.16
  6. Step 6: Final answer
    x = 3,873.86

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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.