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Finding the Fourth Proportional to 4,770.84, 7,128.58 and 3,448.32

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Solution

The fourth proportional to 4,770.84, 7,128.58 and 3,448.32 is: 5,152.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.84 : 7,128.58 = 3,448.32 : x
  2. Step 2: Convert to fraction form
    4,770.84/7,128.58 = 3,448.32/x
  3. Step 3: Cross multiply
    4,770.84x = 7,128.58 × 3,448.32
  4. Step 4: Simplify right side
    4,770.84x = 24,581,624.99
  5. Step 5: Solve for x
    x = 24,581,624.99/4,770.84
  6. Step 6: Final answer
    x = 5,152.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.