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Finding the Fourth Proportional to 5,948.64, 8,208.54 and 3,430.98

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Solution

The fourth proportional to 5,948.64, 8,208.54 and 3,430.98 is: 4,734.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.64 : 8,208.54 = 3,430.98 : x
  2. Step 2: Convert to fraction form
    5,948.64/8,208.54 = 3,430.98/x
  3. Step 3: Cross multiply
    5,948.64x = 8,208.54 × 3,430.98
  4. Step 4: Simplify right side
    5,948.64x = 28,163,336.57
  5. Step 5: Solve for x
    x = 28,163,336.57/5,948.64
  6. Step 6: Final answer
    x = 4,734.42

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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.