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Finding the Fourth Proportional to 4,613.42, 6,916.93 and 2,423.72

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Solution

The fourth proportional to 4,613.42, 6,916.93 and 2,423.72 is: 3,633.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,613.42 : 6,916.93 = 2,423.72 : x
  2. Step 2: Convert to fraction form
    4,613.42/6,916.93 = 2,423.72/x
  3. Step 3: Cross multiply
    4,613.42x = 6,916.93 × 2,423.72
  4. Step 4: Simplify right side
    4,613.42x = 16,764,712.81
  5. Step 5: Solve for x
    x = 16,764,712.81/4,613.42
  6. Step 6: Final answer
    x = 3,633.90

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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.