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Finding the Fourth Proportional to 5,703.95, 8,534.06 and 4,249.60

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Solution

The fourth proportional to 5,703.95, 8,534.06 and 4,249.60 is: 6,358.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.95 : 8,534.06 = 4,249.60 : x
  2. Step 2: Convert to fraction form
    5,703.95/8,534.06 = 4,249.60/x
  3. Step 3: Cross multiply
    5,703.95x = 8,534.06 × 4,249.60
  4. Step 4: Simplify right side
    5,703.95x = 36,266,277.46
  5. Step 5: Solve for x
    x = 36,266,277.46/5,703.95
  6. Step 6: Final answer
    x = 6,358.10

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