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Finding the Fourth Proportional to 5,605.10, 7,725.93 and 4,482.44

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Solution

The fourth proportional to 5,605.10, 7,725.93 and 4,482.44 is: 6,178.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.10 : 7,725.93 = 4,482.44 : x
  2. Step 2: Convert to fraction form
    5,605.10/7,725.93 = 4,482.44/x
  3. Step 3: Cross multiply
    5,605.10x = 7,725.93 × 4,482.44
  4. Step 4: Simplify right side
    5,605.10x = 34,631,017.67
  5. Step 5: Solve for x
    x = 34,631,017.67/5,605.10
  6. Step 6: Final answer
    x = 6,178.48

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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.