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Finding the Fourth Proportional to 5,720.16, 7,894.08 and 4,476

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Solution

The fourth proportional to 5,720.16, 7,894.08 and 4,476 is: 6,177.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.16 : 7,894.08 = 4,476 : x
  2. Step 2: Convert to fraction form
    5,720.16/7,894.08 = 4,476/x
  3. Step 3: Cross multiply
    5,720.16x = 7,894.08 × 4,476
  4. Step 4: Simplify right side
    5,720.16x = 35,333,902.08
  5. Step 5: Solve for x
    x = 35,333,902.08/5,720.16
  6. Step 6: Final answer
    x = 6,177.08

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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.