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Finding the Fourth Proportional to 4,894.02, 7,341.84 and 1,972.08

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Solution

The fourth proportional to 4,894.02, 7,341.84 and 1,972.08 is: 2,958.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.02 : 7,341.84 = 1,972.08 : x
  2. Step 2: Convert to fraction form
    4,894.02/7,341.84 = 1,972.08/x
  3. Step 3: Cross multiply
    4,894.02x = 7,341.84 × 1,972.08
  4. Step 4: Simplify right side
    4,894.02x = 14,478,695.83
  5. Step 5: Solve for x
    x = 14,478,695.83/4,894.02
  6. Step 6: Final answer
    x = 2,958.45

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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.