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Finding the Fourth Proportional to 3,402.64, 5,090.14 and 3,038.24

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Solution

The fourth proportional to 3,402.64, 5,090.14 and 3,038.24 is: 4,545.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.64 : 5,090.14 = 3,038.24 : x
  2. Step 2: Convert to fraction form
    3,402.64/5,090.14 = 3,038.24/x
  3. Step 3: Cross multiply
    3,402.64x = 5,090.14 × 3,038.24
  4. Step 4: Simplify right side
    3,402.64x = 15,465,083.48
  5. Step 5: Solve for x
    x = 15,465,083.48/3,402.64
  6. Step 6: Final answer
    x = 4,545.02

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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.