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Finding the Fourth Proportional to 5,643.70, 8,466.58 and 1,895.10

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Solution

The fourth proportional to 5,643.70, 8,466.58 and 1,895.10 is: 2,843.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.70 : 8,466.58 = 1,895.10 : x
  2. Step 2: Convert to fraction form
    5,643.70/8,466.58 = 1,895.10/x
  3. Step 3: Cross multiply
    5,643.70x = 8,466.58 × 1,895.10
  4. Step 4: Simplify right side
    5,643.70x = 16,045,011.02
  5. Step 5: Solve for x
    x = 16,045,011.02/5,643.70
  6. Step 6: Final answer
    x = 2,843.00

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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.