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Finding the Fourth Proportional to 5,292.95, 7,938.54 and 2,005.16

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Solution

The fourth proportional to 5,292.95, 7,938.54 and 2,005.16 is: 3,007.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,292.95 : 7,938.54 = 2,005.16 : x
  2. Step 2: Convert to fraction form
    5,292.95/7,938.54 = 2,005.16/x
  3. Step 3: Cross multiply
    5,292.95x = 7,938.54 × 2,005.16
  4. Step 4: Simplify right side
    5,292.95x = 15,918,003.17
  5. Step 5: Solve for x
    x = 15,918,003.17/5,292.95
  6. Step 6: Final answer
    x = 3,007.40

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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.