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Finding the Fourth Proportional to 4,165.64, 5,748.64 and 2,302.64

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Solution

The fourth proportional to 4,165.64, 5,748.64 and 2,302.64 is: 3,177.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.64 : 5,748.64 = 2,302.64 : x
  2. Step 2: Convert to fraction form
    4,165.64/5,748.64 = 2,302.64/x
  3. Step 3: Cross multiply
    4,165.64x = 5,748.64 × 2,302.64
  4. Step 4: Simplify right side
    4,165.64x = 13,237,048.41
  5. Step 5: Solve for x
    x = 13,237,048.41/4,165.64
  6. Step 6: Final answer
    x = 3,177.67

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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.