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Finding the Fourth Proportional to 3,466.50, 4,779.20 and 2,904.57

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Solution

The fourth proportional to 3,466.50, 4,779.20 and 2,904.57 is: 4,004.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.50 : 4,779.20 = 2,904.57 : x
  2. Step 2: Convert to fraction form
    3,466.50/4,779.20 = 2,904.57/x
  3. Step 3: Cross multiply
    3,466.50x = 4,779.20 × 2,904.57
  4. Step 4: Simplify right side
    3,466.50x = 13,881,506.42
  5. Step 5: Solve for x
    x = 13,881,506.42/3,466.50
  6. Step 6: Final answer
    x = 4,004.47

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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.