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Finding the Fourth Proportional to 5,383.84, 8,075.76 and 1,686.10

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Solution

The fourth proportional to 5,383.84, 8,075.76 and 1,686.10 is: 2,529.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383.84 : 8,075.76 = 1,686.10 : x
  2. Step 2: Convert to fraction form
    5,383.84/8,075.76 = 1,686.10/x
  3. Step 3: Cross multiply
    5,383.84x = 8,075.76 × 1,686.10
  4. Step 4: Simplify right side
    5,383.84x = 13,616,538.94
  5. Step 5: Solve for x
    x = 13,616,538.94/5,383.84
  6. Step 6: Final answer
    x = 2,529.15

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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.