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Finding the Fourth Proportional to 3,526.90, 4,856 and 2,684.90

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Solution

The fourth proportional to 3,526.90, 4,856 and 2,684.90 is: 3,696.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,526.90 : 4,856 = 2,684.90 : x
  2. Step 2: Convert to fraction form
    3,526.90/4,856 = 2,684.90/x
  3. Step 3: Cross multiply
    3,526.90x = 4,856 × 2,684.90
  4. Step 4: Simplify right side
    3,526.90x = 13,037,874.40
  5. Step 5: Solve for x
    x = 13,037,874.40/3,526.90
  6. Step 6: Final answer
    x = 3,696.70

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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.