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Finding the Fourth Proportional to 5,980.30, 8,970.62 and 1,597.76

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Solution

The fourth proportional to 5,980.30, 8,970.62 and 1,597.76 is: 2,396.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.30 : 8,970.62 = 1,597.76 : x
  2. Step 2: Convert to fraction form
    5,980.30/8,970.62 = 1,597.76/x
  3. Step 3: Cross multiply
    5,980.30x = 8,970.62 × 1,597.76
  4. Step 4: Simplify right side
    5,980.30x = 14,332,878.61
  5. Step 5: Solve for x
    x = 14,332,878.61/5,980.30
  6. Step 6: Final answer
    x = 2,396.68

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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.