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Finding the Fourth Proportional to 5,477.87, 8,223.87 and 4,702.86

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Solution

The fourth proportional to 5,477.87, 8,223.87 and 4,702.86 is: 7,060.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477.87 : 8,223.87 = 4,702.86 : x
  2. Step 2: Convert to fraction form
    5,477.87/8,223.87 = 4,702.86/x
  3. Step 3: Cross multiply
    5,477.87x = 8,223.87 × 4,702.86
  4. Step 4: Simplify right side
    5,477.87x = 38,675,668.15
  5. Step 5: Solve for x
    x = 38,675,668.15/5,477.87
  6. Step 6: Final answer
    x = 7,060.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.