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Finding the Fourth Proportional to 4,894.40, 7,336.80 and 4,311.20

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Solution

The fourth proportional to 4,894.40, 7,336.80 and 4,311.20 is: 6,462.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.40 : 7,336.80 = 4,311.20 : x
  2. Step 2: Convert to fraction form
    4,894.40/7,336.80 = 4,311.20/x
  3. Step 3: Cross multiply
    4,894.40x = 7,336.80 × 4,311.20
  4. Step 4: Simplify right side
    4,894.40x = 31,630,412.16
  5. Step 5: Solve for x
    x = 31,630,412.16/4,894.40
  6. Step 6: Final answer
    x = 6,462.57

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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.