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Finding the Fourth Proportional to 3,484.14, 5,225.76 and 886.92

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Solution

The fourth proportional to 3,484.14, 5,225.76 and 886.92 is: 1,330.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.14 : 5,225.76 = 886.92 : x
  2. Step 2: Convert to fraction form
    3,484.14/5,225.76 = 886.92/x
  3. Step 3: Cross multiply
    3,484.14x = 5,225.76 × 886.92
  4. Step 4: Simplify right side
    3,484.14x = 4,634,831.06
  5. Step 5: Solve for x
    x = 4,634,831.06/3,484.14
  6. Step 6: Final answer
    x = 1,330.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.