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Finding the Fourth Proportional to 4,169.76, 5,746.32 and 2,988.84

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Solution

The fourth proportional to 4,169.76, 5,746.32 and 2,988.84 is: 4,118.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169.76 : 5,746.32 = 2,988.84 : x
  2. Step 2: Convert to fraction form
    4,169.76/5,746.32 = 2,988.84/x
  3. Step 3: Cross multiply
    4,169.76x = 5,746.32 × 2,988.84
  4. Step 4: Simplify right side
    4,169.76x = 17,174,831.07
  5. Step 5: Solve for x
    x = 17,174,831.07/4,169.76
  6. Step 6: Final answer
    x = 4,118.90

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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.