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Finding the Fourth Proportional to 5,364.64, 7,406.46 and 4,250.08

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Solution

The fourth proportional to 5,364.64, 7,406.46 and 4,250.08 is: 5,867.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.64 : 7,406.46 = 4,250.08 : x
  2. Step 2: Convert to fraction form
    5,364.64/7,406.46 = 4,250.08/x
  3. Step 3: Cross multiply
    5,364.64x = 7,406.46 × 4,250.08
  4. Step 4: Simplify right side
    5,364.64x = 31,478,047.52
  5. Step 5: Solve for x
    x = 31,478,047.52/5,364.64
  6. Step 6: Final answer
    x = 5,867.69

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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.