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Finding the Fourth Proportional to 4,970.60, 7,455.90 and 4,156.55

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Solution

The fourth proportional to 4,970.60, 7,455.90 and 4,156.55 is: 6,234.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.60 : 7,455.90 = 4,156.55 : x
  2. Step 2: Convert to fraction form
    4,970.60/7,455.90 = 4,156.55/x
  3. Step 3: Cross multiply
    4,970.60x = 7,455.90 × 4,156.55
  4. Step 4: Simplify right side
    4,970.60x = 30,990,821.15
  5. Step 5: Solve for x
    x = 30,990,821.15/4,970.60
  6. Step 6: Final answer
    x = 6,234.83

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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.