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Finding the Fourth Proportional to 4,158.46, 6,235.62 and 1,384.16

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Solution

The fourth proportional to 4,158.46, 6,235.62 and 1,384.16 is: 2,075.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,158.46 : 6,235.62 = 1,384.16 : x
  2. Step 2: Convert to fraction form
    4,158.46/6,235.62 = 1,384.16/x
  3. Step 3: Cross multiply
    4,158.46x = 6,235.62 × 1,384.16
  4. Step 4: Simplify right side
    4,158.46x = 8,631,095.78
  5. Step 5: Solve for x
    x = 8,631,095.78/4,158.46
  6. Step 6: Final answer
    x = 2,075.55

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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.