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Finding the Fourth Proportional to 5,756.36, 7,927.32 and 5,184.32

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Solution

The fourth proportional to 5,756.36, 7,927.32 and 5,184.32 is: 7,139.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.36 : 7,927.32 = 5,184.32 : x
  2. Step 2: Convert to fraction form
    5,756.36/7,927.32 = 5,184.32/x
  3. Step 3: Cross multiply
    5,756.36x = 7,927.32 × 5,184.32
  4. Step 4: Simplify right side
    5,756.36x = 41,097,723.99
  5. Step 5: Solve for x
    x = 41,097,723.99/5,756.36
  6. Step 6: Final answer
    x = 7,139.54

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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.