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Finding the Fourth Proportional to 5,664.29, 7,813.57 and 5,263.37

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Solution

The fourth proportional to 5,664.29, 7,813.57 and 5,263.37 is: 7,260.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.29 : 7,813.57 = 5,263.37 : x
  2. Step 2: Convert to fraction form
    5,664.29/7,813.57 = 5,263.37/x
  3. Step 3: Cross multiply
    5,664.29x = 7,813.57 × 5,263.37
  4. Step 4: Simplify right side
    5,664.29x = 41,125,657.70
  5. Step 5: Solve for x
    x = 41,125,657.70/5,664.29
  6. Step 6: Final answer
    x = 7,260.52

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1.5x scale

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.