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Finding the Fourth Proportional to 5,417, 8,125.54 and 1,313

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Solution

The fourth proportional to 5,417, 8,125.54 and 1,313 is: 1,969.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,417 : 8,125.54 = 1,313 : x
  2. Step 2: Convert to fraction form
    5,417/8,125.54 = 1,313/x
  3. Step 3: Cross multiply
    5,417x = 8,125.54 × 1,313
  4. Step 4: Simplify right side
    5,417x = 10,668,834.02
  5. Step 5: Solve for x
    x = 10,668,834.02/5,417
  6. Step 6: Final answer
    x = 1,969.51

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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.