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Finding the Fourth Proportional to 5,819.20, 8,740 and 4,988.16

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Solution

The fourth proportional to 5,819.20, 8,740 and 4,988.16 is: 7,491.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,819.20 : 8,740 = 4,988.16 : x
  2. Step 2: Convert to fraction form
    5,819.20/8,740 = 4,988.16/x
  3. Step 3: Cross multiply
    5,819.20x = 8,740 × 4,988.16
  4. Step 4: Simplify right side
    5,819.20x = 43,596,518.40
  5. Step 5: Solve for x
    x = 43,596,518.40/5,819.20
  6. Step 6: Final answer
    x = 7,491.84

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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.