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Finding the Fourth Proportional to 5,184, 7,154.34 and 2,946.60

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Solution

The fourth proportional to 5,184, 7,154.34 and 2,946.60 is: 4,066.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184 : 7,154.34 = 2,946.60 : x
  2. Step 2: Convert to fraction form
    5,184/7,154.34 = 2,946.60/x
  3. Step 3: Cross multiply
    5,184x = 7,154.34 × 2,946.60
  4. Step 4: Simplify right side
    5,184x = 21,080,978.24
  5. Step 5: Solve for x
    x = 21,080,978.24/5,184
  6. Step 6: Final answer
    x = 4,066.55

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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.