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Finding the Fourth Proportional to 5,948.32, 8,209.06 and 3,430.89

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Solution

The fourth proportional to 5,948.32, 8,209.06 and 3,430.89 is: 4,734.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.32 : 8,209.06 = 3,430.89 : x
  2. Step 2: Convert to fraction form
    5,948.32/8,209.06 = 3,430.89/x
  3. Step 3: Cross multiply
    5,948.32x = 8,209.06 × 3,430.89
  4. Step 4: Simplify right side
    5,948.32x = 28,164,381.86
  5. Step 5: Solve for x
    x = 28,164,381.86/5,948.32
  6. Step 6: Final answer
    x = 4,734.85

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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.