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Finding the Fourth Proportional to 4,564.58, 6,834.51 and 2,368.69

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Solution

The fourth proportional to 4,564.58, 6,834.51 and 2,368.69 is: 3,546.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.58 : 6,834.51 = 2,368.69 : x
  2. Step 2: Convert to fraction form
    4,564.58/6,834.51 = 2,368.69/x
  3. Step 3: Cross multiply
    4,564.58x = 6,834.51 × 2,368.69
  4. Step 4: Simplify right side
    4,564.58x = 16,188,818.41
  5. Step 5: Solve for x
    x = 16,188,818.41/4,564.58
  6. Step 6: Final answer
    x = 3,546.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.