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Finding the Fourth Proportional to 3,835.71, 5,298.48 and 3,006.88

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Solution

The fourth proportional to 3,835.71, 5,298.48 and 3,006.88 is: 4,153.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.71 : 5,298.48 = 3,006.88 : x
  2. Step 2: Convert to fraction form
    3,835.71/5,298.48 = 3,006.88/x
  3. Step 3: Cross multiply
    3,835.71x = 5,298.48 × 3,006.88
  4. Step 4: Simplify right side
    3,835.71x = 15,931,880.30
  5. Step 5: Solve for x
    x = 15,931,880.30/3,835.71
  6. Step 6: Final answer
    x = 4,153.57

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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.