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Finding the Fourth Proportional to 5,304.61, 7,953.81 and 1,605.75

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Solution

The fourth proportional to 5,304.61, 7,953.81 and 1,605.75 is: 2,407.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.61 : 7,953.81 = 1,605.75 : x
  2. Step 2: Convert to fraction form
    5,304.61/7,953.81 = 1,605.75/x
  3. Step 3: Cross multiply
    5,304.61x = 7,953.81 × 1,605.75
  4. Step 4: Simplify right side
    5,304.61x = 12,771,830.41
  5. Step 5: Solve for x
    x = 12,771,830.41/5,304.61
  6. Step 6: Final answer
    x = 2,407.69

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Why These Related Problems?

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