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Finding the Fourth Proportional to 5,484.63, 7,568.79 and 2,966.74

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Solution

The fourth proportional to 5,484.63, 7,568.79 and 2,966.74 is: 4,094.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,484.63 : 7,568.79 = 2,966.74 : x
  2. Step 2: Convert to fraction form
    5,484.63/7,568.79 = 2,966.74/x
  3. Step 3: Cross multiply
    5,484.63x = 7,568.79 × 2,966.74
  4. Step 4: Simplify right side
    5,484.63x = 22,454,632.04
  5. Step 5: Solve for x
    x = 22,454,632.04/5,484.63
  6. Step 6: Final answer
    x = 4,094.10

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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.