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Finding the Fourth Proportional to 5,344.61, 8,017.80 and 1,646.76

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Solution

The fourth proportional to 5,344.61, 8,017.80 and 1,646.76 is: 2,470.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,344.61 : 8,017.80 = 1,646.76 : x
  2. Step 2: Convert to fraction form
    5,344.61/8,017.80 = 1,646.76/x
  3. Step 3: Cross multiply
    5,344.61x = 8,017.80 × 1,646.76
  4. Step 4: Simplify right side
    5,344.61x = 13,203,384.09
  5. Step 5: Solve for x
    x = 13,203,384.09/5,344.61
  6. Step 6: Final answer
    x = 2,470.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.