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Finding the Fourth Proportional to 4,373, 6,560.78 and 1,295.08

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Solution

The fourth proportional to 4,373, 6,560.78 and 1,295.08 is: 1,943.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,373 : 6,560.78 = 1,295.08 : x
  2. Step 2: Convert to fraction form
    4,373/6,560.78 = 1,295.08/x
  3. Step 3: Cross multiply
    4,373x = 6,560.78 × 1,295.08
  4. Step 4: Simplify right side
    4,373x = 8,496,734.96
  5. Step 5: Solve for x
    x = 8,496,734.96/4,373
  6. Step 6: Final answer
    x = 1,943.00

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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.