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Finding the Fourth Proportional to 4,165.65, 5,747.28 and 2,509.65

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Solution

The fourth proportional to 4,165.65, 5,747.28 and 2,509.65 is: 3,462.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.65 : 5,747.28 = 2,509.65 : x
  2. Step 2: Convert to fraction form
    4,165.65/5,747.28 = 2,509.65/x
  3. Step 3: Cross multiply
    4,165.65x = 5,747.28 × 2,509.65
  4. Step 4: Simplify right side
    4,165.65x = 14,423,661.25
  5. Step 5: Solve for x
    x = 14,423,661.25/4,165.65
  6. Step 6: Final answer
    x = 3,462.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.