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Finding the Fourth Proportional to 5,602.14, 8,402.64 and 1,904.28

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Solution

The fourth proportional to 5,602.14, 8,402.64 and 1,904.28 is: 2,856.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.14 : 8,402.64 = 1,904.28 : x
  2. Step 2: Convert to fraction form
    5,602.14/8,402.64 = 1,904.28/x
  3. Step 3: Cross multiply
    5,602.14x = 8,402.64 × 1,904.28
  4. Step 4: Simplify right side
    5,602.14x = 16,000,979.30
  5. Step 5: Solve for x
    x = 16,000,979.30/5,602.14
  6. Step 6: Final answer
    x = 2,856.23

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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.