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Finding the Fourth Proportional to 5,803.76, 8,013.24 and 4,457.12

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Solution

The fourth proportional to 5,803.76, 8,013.24 and 4,457.12 is: 6,153.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.76 : 8,013.24 = 4,457.12 : x
  2. Step 2: Convert to fraction form
    5,803.76/8,013.24 = 4,457.12/x
  3. Step 3: Cross multiply
    5,803.76x = 8,013.24 × 4,457.12
  4. Step 4: Simplify right side
    5,803.76x = 35,715,972.27
  5. Step 5: Solve for x
    x = 35,715,972.27/5,803.76
  6. Step 6: Final answer
    x = 6,153.94

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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.