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Finding the Fourth Proportional to 3,509.42, 4,842.52 and 2,093.00

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Solution

The fourth proportional to 3,509.42, 4,842.52 and 2,093.00 is: 2,888.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.42 : 4,842.52 = 2,093.00 : x
  2. Step 2: Convert to fraction form
    3,509.42/4,842.52 = 2,093.00/x
  3. Step 3: Cross multiply
    3,509.42x = 4,842.52 × 2,093.00
  4. Step 4: Simplify right side
    3,509.42x = 10,135,364.91
  5. Step 5: Solve for x
    x = 10,135,364.91/3,509.42
  6. Step 6: Final answer
    x = 2,888.05

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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.