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Finding the Fourth Proportional to 3,934.60, 5,901.91 and 973.03

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Solution

The fourth proportional to 3,934.60, 5,901.91 and 973.03 is: 1,459.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.60 : 5,901.91 = 973.03 : x
  2. Step 2: Convert to fraction form
    3,934.60/5,901.91 = 973.03/x
  3. Step 3: Cross multiply
    3,934.60x = 5,901.91 × 973.03
  4. Step 4: Simplify right side
    3,934.60x = 5,742,735.49
  5. Step 5: Solve for x
    x = 5,742,735.49/3,934.60
  6. Step 6: Final answer
    x = 1,459.55

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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.