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Finding the Fourth Proportional to 5,652.04, 7,800.71 and 3,414.23

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Solution

The fourth proportional to 5,652.04, 7,800.71 and 3,414.23 is: 4,712.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.04 : 7,800.71 = 3,414.23 : x
  2. Step 2: Convert to fraction form
    5,652.04/7,800.71 = 3,414.23/x
  3. Step 3: Cross multiply
    5,652.04x = 7,800.71 × 3,414.23
  4. Step 4: Simplify right side
    5,652.04x = 26,633,420.53
  5. Step 5: Solve for x
    x = 26,633,420.53/5,652.04
  6. Step 6: Final answer
    x = 4,712.18

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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.