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Finding the Fourth Proportional to 4,565.16, 6,296.68 and 4,412.74

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Solution

The fourth proportional to 4,565.16, 6,296.68 and 4,412.74 is: 6,086.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.16 : 6,296.68 = 4,412.74 : x
  2. Step 2: Convert to fraction form
    4,565.16/6,296.68 = 4,412.74/x
  3. Step 3: Cross multiply
    4,565.16x = 6,296.68 × 4,412.74
  4. Step 4: Simplify right side
    4,565.16x = 27,785,611.70
  5. Step 5: Solve for x
    x = 27,785,611.70/4,565.16
  6. Step 6: Final answer
    x = 6,086.45

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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.