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Finding the Fourth Proportional to 4,626.57, 6,384.68 and 2,530.70

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Solution

The fourth proportional to 4,626.57, 6,384.68 and 2,530.70 is: 3,492.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626.57 : 6,384.68 = 2,530.70 : x
  2. Step 2: Convert to fraction form
    4,626.57/6,384.68 = 2,530.70/x
  3. Step 3: Cross multiply
    4,626.57x = 6,384.68 × 2,530.70
  4. Step 4: Simplify right side
    4,626.57x = 16,157,665.10
  5. Step 5: Solve for x
    x = 16,157,665.10/4,626.57
  6. Step 6: Final answer
    x = 3,492.36

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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.