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Finding the Fourth Proportional to 5,595.77, 7,722.06 and 3,827.32

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Solution

The fourth proportional to 5,595.77, 7,722.06 and 3,827.32 is: 5,281.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,595.77 : 7,722.06 = 3,827.32 : x
  2. Step 2: Convert to fraction form
    5,595.77/7,722.06 = 3,827.32/x
  3. Step 3: Cross multiply
    5,595.77x = 7,722.06 × 3,827.32
  4. Step 4: Simplify right side
    5,595.77x = 29,554,756.07
  5. Step 5: Solve for x
    x = 29,554,756.07/5,595.77
  6. Step 6: Final answer
    x = 5,281.62

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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.