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Finding the Fourth Proportional to 5,641.14, 7,782.18 and 3,652.35

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Solution

The fourth proportional to 5,641.14, 7,782.18 and 3,652.35 is: 5,038.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.14 : 7,782.18 = 3,652.35 : x
  2. Step 2: Convert to fraction form
    5,641.14/7,782.18 = 3,652.35/x
  3. Step 3: Cross multiply
    5,641.14x = 7,782.18 × 3,652.35
  4. Step 4: Simplify right side
    5,641.14x = 28,423,245.12
  5. Step 5: Solve for x
    x = 28,423,245.12/5,641.14
  6. Step 6: Final answer
    x = 5,038.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.