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Finding the Fourth Proportional to 5,701.84, 8,553.64 and 1,807.14

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Solution

The fourth proportional to 5,701.84, 8,553.64 and 1,807.14 is: 2,710.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.84 : 8,553.64 = 1,807.14 : x
  2. Step 2: Convert to fraction form
    5,701.84/8,553.64 = 1,807.14/x
  3. Step 3: Cross multiply
    5,701.84x = 8,553.64 × 1,807.14
  4. Step 4: Simplify right side
    5,701.84x = 15,457,624.99
  5. Step 5: Solve for x
    x = 15,457,624.99/5,701.84
  6. Step 6: Final answer
    x = 2,710.99

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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.