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Finding the Fourth Proportional to 4,643.78, 6,973.47 and 2,892.87

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Solution

The fourth proportional to 4,643.78, 6,973.47 and 2,892.87 is: 4,344.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.78 : 6,973.47 = 2,892.87 : x
  2. Step 2: Convert to fraction form
    4,643.78/6,973.47 = 2,892.87/x
  3. Step 3: Cross multiply
    4,643.78x = 6,973.47 × 2,892.87
  4. Step 4: Simplify right side
    4,643.78x = 20,173,342.16
  5. Step 5: Solve for x
    x = 20,173,342.16/4,643.78
  6. Step 6: Final answer
    x = 4,344.17

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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.