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Finding the Fourth Proportional to 3,047.95, 4,572.33 and 1,404.87

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Solution

The fourth proportional to 3,047.95, 4,572.33 and 1,404.87 is: 2,107.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.95 : 4,572.33 = 1,404.87 : x
  2. Step 2: Convert to fraction form
    3,047.95/4,572.33 = 1,404.87/x
  3. Step 3: Cross multiply
    3,047.95x = 4,572.33 × 1,404.87
  4. Step 4: Simplify right side
    3,047.95x = 6,423,529.25
  5. Step 5: Solve for x
    x = 6,423,529.25/3,047.95
  6. Step 6: Final answer
    x = 2,107.49

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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.