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Finding the Fourth Proportional to 4,205.46, 5,803.46 and 2,505.15

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Solution

The fourth proportional to 4,205.46, 5,803.46 and 2,505.15 is: 3,457.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.46 : 5,803.46 = 2,505.15 : x
  2. Step 2: Convert to fraction form
    4,205.46/5,803.46 = 2,505.15/x
  3. Step 3: Cross multiply
    4,205.46x = 5,803.46 × 2,505.15
  4. Step 4: Simplify right side
    4,205.46x = 14,538,537.82
  5. Step 5: Solve for x
    x = 14,538,537.82/4,205.46
  6. Step 6: Final answer
    x = 3,457.06

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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.