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Finding the Fourth Proportional to 4,565.69, 6,851.53 and 1,604.06

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Solution

The fourth proportional to 4,565.69, 6,851.53 and 1,604.06 is: 2,407.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.69 : 6,851.53 = 1,604.06 : x
  2. Step 2: Convert to fraction form
    4,565.69/6,851.53 = 1,604.06/x
  3. Step 3: Cross multiply
    4,565.69x = 6,851.53 × 1,604.06
  4. Step 4: Simplify right side
    4,565.69x = 10,990,284.35
  5. Step 5: Solve for x
    x = 10,990,284.35/4,565.69
  6. Step 6: Final answer
    x = 2,407.15

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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.