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Finding the Fourth Proportional to 5,322.78, 7,346.79 and 3,085.92

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Solution

The fourth proportional to 5,322.78, 7,346.79 and 3,085.92 is: 4,259.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.78 : 7,346.79 = 3,085.92 : x
  2. Step 2: Convert to fraction form
    5,322.78/7,346.79 = 3,085.92/x
  3. Step 3: Cross multiply
    5,322.78x = 7,346.79 × 3,085.92
  4. Step 4: Simplify right side
    5,322.78x = 22,671,606.20
  5. Step 5: Solve for x
    x = 22,671,606.20/5,322.78
  6. Step 6: Final answer
    x = 4,259.35

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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.