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Finding the Fourth Proportional to 5,715.39, 8,574 and 2,428.50

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Solution

The fourth proportional to 5,715.39, 8,574 and 2,428.50 is: 3,643.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.39 : 8,574 = 2,428.50 : x
  2. Step 2: Convert to fraction form
    5,715.39/8,574 = 2,428.50/x
  3. Step 3: Cross multiply
    5,715.39x = 8,574 × 2,428.50
  4. Step 4: Simplify right side
    5,715.39x = 20,821,959
  5. Step 5: Solve for x
    x = 20,821,959/5,715.39
  6. Step 6: Final answer
    x = 3,643.14

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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.