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Finding the Fourth Proportional to 5,373.12, 7,411.68 and 3,580.32

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Solution

The fourth proportional to 5,373.12, 7,411.68 and 3,580.32 is: 4,938.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,373.12 : 7,411.68 = 3,580.32 : x
  2. Step 2: Convert to fraction form
    5,373.12/7,411.68 = 3,580.32/x
  3. Step 3: Cross multiply
    5,373.12x = 7,411.68 × 3,580.32
  4. Step 4: Simplify right side
    5,373.12x = 26,536,186.14
  5. Step 5: Solve for x
    x = 26,536,186.14/5,373.12
  6. Step 6: Final answer
    x = 4,938.69

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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.