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Finding the Fourth Proportional to 5,719.57, 8,564.33 and 4,603.05

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Solution

The fourth proportional to 5,719.57, 8,564.33 and 4,603.05 is: 6,892.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,719.57 : 8,564.33 = 4,603.05 : x
  2. Step 2: Convert to fraction form
    5,719.57/8,564.33 = 4,603.05/x
  3. Step 3: Cross multiply
    5,719.57x = 8,564.33 × 4,603.05
  4. Step 4: Simplify right side
    5,719.57x = 39,422,050.71
  5. Step 5: Solve for x
    x = 39,422,050.71/5,719.57
  6. Step 6: Final answer
    x = 6,892.49

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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.