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Finding the Fourth Proportional to 4,328.16, 6,491.88 and 2,382

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Solution

The fourth proportional to 4,328.16, 6,491.88 and 2,382 is: 3,572.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,328.16 : 6,491.88 = 2,382 : x
  2. Step 2: Convert to fraction form
    4,328.16/6,491.88 = 2,382/x
  3. Step 3: Cross multiply
    4,328.16x = 6,491.88 × 2,382
  4. Step 4: Simplify right side
    4,328.16x = 15,463,658.16
  5. Step 5: Solve for x
    x = 15,463,658.16/4,328.16
  6. Step 6: Final answer
    x = 3,572.80

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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.