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Finding the Fourth Proportional to 5,486.63, 8,230.80 and 1,788

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Solution

The fourth proportional to 5,486.63, 8,230.80 and 1,788 is: 2,682.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.63 : 8,230.80 = 1,788 : x
  2. Step 2: Convert to fraction form
    5,486.63/8,230.80 = 1,788/x
  3. Step 3: Cross multiply
    5,486.63x = 8,230.80 × 1,788
  4. Step 4: Simplify right side
    5,486.63x = 14,716,670.40
  5. Step 5: Solve for x
    x = 14,716,670.40/5,486.63
  6. Step 6: Final answer
    x = 2,682.28

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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.