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Finding the Fourth Proportional to 3,534.77, 5,303.12 and 1,561.98

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Solution

The fourth proportional to 3,534.77, 5,303.12 and 1,561.98 is: 2,343.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.77 : 5,303.12 = 1,561.98 : x
  2. Step 2: Convert to fraction form
    3,534.77/5,303.12 = 1,561.98/x
  3. Step 3: Cross multiply
    3,534.77x = 5,303.12 × 1,561.98
  4. Step 4: Simplify right side
    3,534.77x = 8,283,333.05
  5. Step 5: Solve for x
    x = 8,283,333.05/3,534.77
  6. Step 6: Final answer
    x = 2,343.39

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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.