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Finding the Fourth Proportional to 3,894.78, 5,842.17 and 973.08

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Solution

The fourth proportional to 3,894.78, 5,842.17 and 973.08 is: 1,459.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.78 : 5,842.17 = 973.08 : x
  2. Step 2: Convert to fraction form
    3,894.78/5,842.17 = 973.08/x
  3. Step 3: Cross multiply
    3,894.78x = 5,842.17 × 973.08
  4. Step 4: Simplify right side
    3,894.78x = 5,684,898.78
  5. Step 5: Solve for x
    x = 5,684,898.78/3,894.78
  6. Step 6: Final answer
    x = 1,459.62

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1.5x scale

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.