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Finding the Fourth Proportional to 5,707.53, 7,873.74 and 3,582.36

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Solution

The fourth proportional to 5,707.53, 7,873.74 and 3,582.36 is: 4,941.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.53 : 7,873.74 = 3,582.36 : x
  2. Step 2: Convert to fraction form
    5,707.53/7,873.74 = 3,582.36/x
  3. Step 3: Cross multiply
    5,707.53x = 7,873.74 × 3,582.36
  4. Step 4: Simplify right side
    5,707.53x = 28,206,571.23
  5. Step 5: Solve for x
    x = 28,206,571.23/5,707.53
  6. Step 6: Final answer
    x = 4,941.99

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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.