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Finding the Fourth Proportional to 5,324.16, 7,347.06 and 2,966.07

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Solution

The fourth proportional to 5,324.16, 7,347.06 and 2,966.07 is: 4,093.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324.16 : 7,347.06 = 2,966.07 : x
  2. Step 2: Convert to fraction form
    5,324.16/7,347.06 = 2,966.07/x
  3. Step 3: Cross multiply
    5,324.16x = 7,347.06 × 2,966.07
  4. Step 4: Simplify right side
    5,324.16x = 21,791,894.25
  5. Step 5: Solve for x
    x = 21,791,894.25/5,324.16
  6. Step 6: Final answer
    x = 4,093.02

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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.