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Finding the Fourth Proportional to 3,035.64, 4,572.93 and 2,271

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Solution

The fourth proportional to 3,035.64, 4,572.93 and 2,271 is: 3,421.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,035.64 : 4,572.93 = 2,271 : x
  2. Step 2: Convert to fraction form
    3,035.64/4,572.93 = 2,271/x
  3. Step 3: Cross multiply
    3,035.64x = 4,572.93 × 2,271
  4. Step 4: Simplify right side
    3,035.64x = 10,385,124.03
  5. Step 5: Solve for x
    x = 10,385,124.03/3,035.64
  6. Step 6: Final answer
    x = 3,421.07

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.