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Finding the Fourth Proportional to 5,484.22, 7,565.81 and 3,494.32

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Solution

The fourth proportional to 5,484.22, 7,565.81 and 3,494.32 is: 4,820.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,484.22 : 7,565.81 = 3,494.32 : x
  2. Step 2: Convert to fraction form
    5,484.22/7,565.81 = 3,494.32/x
  3. Step 3: Cross multiply
    5,484.22x = 7,565.81 × 3,494.32
  4. Step 4: Simplify right side
    5,484.22x = 26,437,324.81
  5. Step 5: Solve for x
    x = 26,437,324.81/5,484.22
  6. Step 6: Final answer
    x = 4,820.62

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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.