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Finding the Fourth Proportional to 3,534.00, 4,878.23 and 3,034.63

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Solution

The fourth proportional to 3,534.00, 4,878.23 and 3,034.63 is: 4,188.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.00 : 4,878.23 = 3,034.63 : x
  2. Step 2: Convert to fraction form
    3,534.00/4,878.23 = 3,034.63/x
  3. Step 3: Cross multiply
    3,534.00x = 4,878.23 × 3,034.63
  4. Step 4: Simplify right side
    3,534.00x = 14,803,614.03
  5. Step 5: Solve for x
    x = 14,803,614.03/3,534.00
  6. Step 6: Final answer
    x = 4,188.92

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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.