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Finding the Fourth Proportional to 5,513.07, 7,605.93 and 4,080.84

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Solution

The fourth proportional to 5,513.07, 7,605.93 and 4,080.84 is: 5,630.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,513.07 : 7,605.93 = 4,080.84 : x
  2. Step 2: Convert to fraction form
    5,513.07/7,605.93 = 4,080.84/x
  3. Step 3: Cross multiply
    5,513.07x = 7,605.93 × 4,080.84
  4. Step 4: Simplify right side
    5,513.07x = 31,038,583.38
  5. Step 5: Solve for x
    x = 31,038,583.38/5,513.07
  6. Step 6: Final answer
    x = 5,630.00

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Why These Related Problems?

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