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Finding the Fourth Proportional to 4,701.40, 6,491.10 and 4,202.44

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Solution

The fourth proportional to 4,701.40, 6,491.10 and 4,202.44 is: 5,802.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.40 : 6,491.10 = 4,202.44 : x
  2. Step 2: Convert to fraction form
    4,701.40/6,491.10 = 4,202.44/x
  3. Step 3: Cross multiply
    4,701.40x = 6,491.10 × 4,202.44
  4. Step 4: Simplify right side
    4,701.40x = 27,278,458.28
  5. Step 5: Solve for x
    x = 27,278,458.28/4,701.40
  6. Step 6: Final answer
    x = 5,802.20

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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.