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Finding the Fourth Proportional to 6,075.84, 8,384.54 and 3,423.72

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Solution

The fourth proportional to 6,075.84, 8,384.54 and 3,423.72 is: 4,724.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075.84 : 8,384.54 = 3,423.72 : x
  2. Step 2: Convert to fraction form
    6,075.84/8,384.54 = 3,423.72/x
  3. Step 3: Cross multiply
    6,075.84x = 8,384.54 × 3,423.72
  4. Step 4: Simplify right side
    6,075.84x = 28,706,317.29
  5. Step 5: Solve for x
    x = 28,706,317.29/6,075.84
  6. Step 6: Final answer
    x = 4,724.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.