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Finding the Fourth Proportional to 3,466.80, 4,776.04 and 2,417.04

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Solution

The fourth proportional to 3,466.80, 4,776.04 and 2,417.04 is: 3,329.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.80 : 4,776.04 = 2,417.04 : x
  2. Step 2: Convert to fraction form
    3,466.80/4,776.04 = 2,417.04/x
  3. Step 3: Cross multiply
    3,466.80x = 4,776.04 × 2,417.04
  4. Step 4: Simplify right side
    3,466.80x = 11,543,879.72
  5. Step 5: Solve for x
    x = 11,543,879.72/3,466.80
  6. Step 6: Final answer
    x = 3,329.84

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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.