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Finding the Fourth Proportional to 4,626.58, 6,384.61 and 2,530.71

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Solution

The fourth proportional to 4,626.58, 6,384.61 and 2,530.71 is: 3,492.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626.58 : 6,384.61 = 2,530.71 : x
  2. Step 2: Convert to fraction form
    4,626.58/6,384.61 = 2,530.71/x
  3. Step 3: Cross multiply
    4,626.58x = 6,384.61 × 2,530.71
  4. Step 4: Simplify right side
    4,626.58x = 16,157,596.37
  5. Step 5: Solve for x
    x = 16,157,596.37/4,626.58
  6. Step 6: Final answer
    x = 3,492.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.