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Finding the Fourth Proportional to 4,415.81, 6,624.88 and 2,565.14

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Solution

The fourth proportional to 4,415.81, 6,624.88 and 2,565.14 is: 3,848.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,415.81 : 6,624.88 = 2,565.14 : x
  2. Step 2: Convert to fraction form
    4,415.81/6,624.88 = 2,565.14/x
  3. Step 3: Cross multiply
    4,415.81x = 6,624.88 × 2,565.14
  4. Step 4: Simplify right side
    4,415.81x = 16,993,767.25
  5. Step 5: Solve for x
    x = 16,993,767.25/4,415.81
  6. Step 6: Final answer
    x = 3,848.39

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