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Finding the Fourth Proportional to 3,493.73, 4,829.00 and 3,070.91

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Solution

The fourth proportional to 3,493.73, 4,829.00 and 3,070.91 is: 4,244.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.73 : 4,829.00 = 3,070.91 : x
  2. Step 2: Convert to fraction form
    3,493.73/4,829.00 = 3,070.91/x
  3. Step 3: Cross multiply
    3,493.73x = 4,829.00 × 3,070.91
  4. Step 4: Simplify right side
    3,493.73x = 14,829,384.89
  5. Step 5: Solve for x
    x = 14,829,384.89/3,493.73
  6. Step 6: Final answer
    x = 4,244.58

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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.