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Finding the Fourth Proportional to 5,384.94, 8,075.12 and 1,686.16

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Solution

The fourth proportional to 5,384.94, 8,075.12 and 1,686.16 is: 2,528.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.94 : 8,075.12 = 1,686.16 : x
  2. Step 2: Convert to fraction form
    5,384.94/8,075.12 = 1,686.16/x
  3. Step 3: Cross multiply
    5,384.94x = 8,075.12 × 1,686.16
  4. Step 4: Simplify right side
    5,384.94x = 13,615,944.34
  5. Step 5: Solve for x
    x = 13,615,944.34/5,384.94
  6. Step 6: Final answer
    x = 2,528.52

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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.