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Finding the Fourth Proportional to 5,305.94, 7,322.00 and 2,948.23

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Solution

The fourth proportional to 5,305.94, 7,322.00 and 2,948.23 is: 4,068.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.94 : 7,322.00 = 2,948.23 : x
  2. Step 2: Convert to fraction form
    5,305.94/7,322.00 = 2,948.23/x
  3. Step 3: Cross multiply
    5,305.94x = 7,322.00 × 2,948.23
  4. Step 4: Simplify right side
    5,305.94x = 21,586,934.47
  5. Step 5: Solve for x
    x = 21,586,934.47/5,305.94
  6. Step 6: Final answer
    x = 4,068.45

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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.