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Finding the Fourth Proportional to 5,667.63, 7,822.03 and 3,430.29

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Solution

The fourth proportional to 5,667.63, 7,822.03 and 3,430.29 is: 4,734.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.63 : 7,822.03 = 3,430.29 : x
  2. Step 2: Convert to fraction form
    5,667.63/7,822.03 = 3,430.29/x
  3. Step 3: Cross multiply
    5,667.63x = 7,822.03 × 3,430.29
  4. Step 4: Simplify right side
    5,667.63x = 26,831,831.29
  5. Step 5: Solve for x
    x = 26,831,831.29/5,667.63
  6. Step 6: Final answer
    x = 4,734.22

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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.