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Finding the Fourth Proportional to 5,429, 7,497.69 and 4,029.32

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Solution

The fourth proportional to 5,429, 7,497.69 and 4,029.32 is: 5,564.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,429 : 7,497.69 = 4,029.32 : x
  2. Step 2: Convert to fraction form
    5,429/7,497.69 = 4,029.32/x
  3. Step 3: Cross multiply
    5,429x = 7,497.69 × 4,029.32
  4. Step 4: Simplify right side
    5,429x = 30,210,592.27
  5. Step 5: Solve for x
    x = 30,210,592.27/5,429
  6. Step 6: Final answer
    x = 5,564.67

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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.