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Finding the Fourth Proportional to 4,533.40, 6,801.08 and 1,865.00

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Solution

The fourth proportional to 4,533.40, 6,801.08 and 1,865.00 is: 2,797.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,533.40 : 6,801.08 = 1,865.00 : x
  2. Step 2: Convert to fraction form
    4,533.40/6,801.08 = 1,865.00/x
  3. Step 3: Cross multiply
    4,533.40x = 6,801.08 × 1,865.00
  4. Step 4: Simplify right side
    4,533.40x = 12,684,032.37
  5. Step 5: Solve for x
    x = 12,684,032.37/4,533.40
  6. Step 6: Final answer
    x = 2,797.91

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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.