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Finding the Fourth Proportional to 4,689.66, 6,471.90 and 2,565.33

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Solution

The fourth proportional to 4,689.66, 6,471.90 and 2,565.33 is: 3,540.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.66 : 6,471.90 = 2,565.33 : x
  2. Step 2: Convert to fraction form
    4,689.66/6,471.90 = 2,565.33/x
  3. Step 3: Cross multiply
    4,689.66x = 6,471.90 × 2,565.33
  4. Step 4: Simplify right side
    4,689.66x = 16,602,559.23
  5. Step 5: Solve for x
    x = 16,602,559.23/4,689.66
  6. Step 6: Final answer
    x = 3,540.25

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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.