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Finding the Fourth Proportional to 4,274.64, 5,899.03 and 2,506.28

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Solution

The fourth proportional to 4,274.64, 5,899.03 and 2,506.28 is: 3,458.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.64 : 5,899.03 = 2,506.28 : x
  2. Step 2: Convert to fraction form
    4,274.64/5,899.03 = 2,506.28/x
  3. Step 3: Cross multiply
    4,274.64x = 5,899.03 × 2,506.28
  4. Step 4: Simplify right side
    4,274.64x = 14,784,585.15
  5. Step 5: Solve for x
    x = 14,784,585.15/4,274.64
  6. Step 6: Final answer
    x = 3,458.67

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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.