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Finding the Fourth Proportional to 4,745.32, 7,109.34 and 3,499

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Solution

The fourth proportional to 4,745.32, 7,109.34 and 3,499 is: 5,242.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.32 : 7,109.34 = 3,499 : x
  2. Step 2: Convert to fraction form
    4,745.32/7,109.34 = 3,499/x
  3. Step 3: Cross multiply
    4,745.32x = 7,109.34 × 3,499
  4. Step 4: Simplify right side
    4,745.32x = 24,875,580.66
  5. Step 5: Solve for x
    x = 24,875,580.66/4,745.32
  6. Step 6: Final answer
    x = 5,242.13

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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.