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Finding the Fourth Proportional to 4,306.72, 6,457.74 and 1,384.24

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Solution

The fourth proportional to 4,306.72, 6,457.74 and 1,384.24 is: 2,075.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306.72 : 6,457.74 = 1,384.24 : x
  2. Step 2: Convert to fraction form
    4,306.72/6,457.74 = 1,384.24/x
  3. Step 3: Cross multiply
    4,306.72x = 6,457.74 × 1,384.24
  4. Step 4: Simplify right side
    4,306.72x = 8,939,062.02
  5. Step 5: Solve for x
    x = 8,939,062.02/4,306.72
  6. Step 6: Final answer
    x = 2,075.61

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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.