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Finding the Fourth Proportional to 6,184.85, 8,535.65 and 3,533.10

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Solution

The fourth proportional to 6,184.85, 8,535.65 and 3,533.10 is: 4,876.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.85 : 8,535.65 = 3,533.10 : x
  2. Step 2: Convert to fraction form
    6,184.85/8,535.65 = 3,533.10/x
  3. Step 3: Cross multiply
    6,184.85x = 8,535.65 × 3,533.10
  4. Step 4: Simplify right side
    6,184.85x = 30,157,287.35
  5. Step 5: Solve for x
    x = 30,157,287.35/6,184.85
  6. Step 6: Final answer
    x = 4,876.00

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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.