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Finding the Fourth Proportional to 3,833.63, 5,292.95 and 2,509.68

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Solution

The fourth proportional to 3,833.63, 5,292.95 and 2,509.68 is: 3,465.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.63 : 5,292.95 = 2,509.68 : x
  2. Step 2: Convert to fraction form
    3,833.63/5,292.95 = 2,509.68/x
  3. Step 3: Cross multiply
    3,833.63x = 5,292.95 × 2,509.68
  4. Step 4: Simplify right side
    3,833.63x = 13,283,618.06
  5. Step 5: Solve for x
    x = 13,283,618.06/3,833.63
  6. Step 6: Final answer
    x = 3,465.02

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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.