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Finding the Fourth Proportional to 4,677.92, 6,455.49 and 2,582

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Solution

The fourth proportional to 4,677.92, 6,455.49 and 2,582 is: 3,563.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.92 : 6,455.49 = 2,582 : x
  2. Step 2: Convert to fraction form
    4,677.92/6,455.49 = 2,582/x
  3. Step 3: Cross multiply
    4,677.92x = 6,455.49 × 2,582
  4. Step 4: Simplify right side
    4,677.92x = 16,668,075.18
  5. Step 5: Solve for x
    x = 16,668,075.18/4,677.92
  6. Step 6: Final answer
    x = 3,563.14

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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.