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Finding the Fourth Proportional to 4,690.06, 6,472.07 and 2,565.49

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Solution

The fourth proportional to 4,690.06, 6,472.07 and 2,565.49 is: 3,540.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.06 : 6,472.07 = 2,565.49 : x
  2. Step 2: Convert to fraction form
    4,690.06/6,472.07 = 2,565.49/x
  3. Step 3: Cross multiply
    4,690.06x = 6,472.07 × 2,565.49
  4. Step 4: Simplify right side
    4,690.06x = 16,604,030.86
  5. Step 5: Solve for x
    x = 16,604,030.86/4,690.06
  6. Step 6: Final answer
    x = 3,540.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.