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Finding the Fourth Proportional to 5,294.52, 7,298.02 and 4,173.64

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Solution

The fourth proportional to 5,294.52, 7,298.02 and 4,173.64 is: 5,752.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.52 : 7,298.02 = 4,173.64 : x
  2. Step 2: Convert to fraction form
    5,294.52/7,298.02 = 4,173.64/x
  3. Step 3: Cross multiply
    5,294.52x = 7,298.02 × 4,173.64
  4. Step 4: Simplify right side
    5,294.52x = 30,459,308.19
  5. Step 5: Solve for x
    x = 30,459,308.19/5,294.52
  6. Step 6: Final answer
    x = 5,752.99

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1.5x scale

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.