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Finding the Fourth Proportional to 5,702.04, 8,556.01 and 4,314.96

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Solution

The fourth proportional to 5,702.04, 8,556.01 and 4,314.96 is: 6,474.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.04 : 8,556.01 = 4,314.96 : x
  2. Step 2: Convert to fraction form
    5,702.04/8,556.01 = 4,314.96/x
  3. Step 3: Cross multiply
    5,702.04x = 8,556.01 × 4,314.96
  4. Step 4: Simplify right side
    5,702.04x = 36,918,840.91
  5. Step 5: Solve for x
    x = 36,918,840.91/5,702.04
  6. Step 6: Final answer
    x = 6,474.67

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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.