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Finding the Fourth Proportional to 5,684.80, 8,486.60 and 4,809.76

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Solution

The fourth proportional to 5,684.80, 8,486.60 and 4,809.76 is: 7,180.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.80 : 8,486.60 = 4,809.76 : x
  2. Step 2: Convert to fraction form
    5,684.80/8,486.60 = 4,809.76/x
  3. Step 3: Cross multiply
    5,684.80x = 8,486.60 × 4,809.76
  4. Step 4: Simplify right side
    5,684.80x = 40,818,509.22
  5. Step 5: Solve for x
    x = 40,818,509.22/5,684.80
  6. Step 6: Final answer
    x = 7,180.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.