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Finding the Fourth Proportional to 4,907.42, 7,361.12 and 4,038.22

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Solution

The fourth proportional to 4,907.42, 7,361.12 and 4,038.22 is: 6,057.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.42 : 7,361.12 = 4,038.22 : x
  2. Step 2: Convert to fraction form
    4,907.42/7,361.12 = 4,038.22/x
  3. Step 3: Cross multiply
    4,907.42x = 7,361.12 × 4,038.22
  4. Step 4: Simplify right side
    4,907.42x = 29,725,822.01
  5. Step 5: Solve for x
    x = 29,725,822.01/4,907.42
  6. Step 6: Final answer
    x = 6,057.32

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.