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Finding the Fourth Proportional to 4,290.95, 6,437.03 and 2,099.80

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Solution

The fourth proportional to 4,290.95, 6,437.03 and 2,099.80 is: 3,150.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,290.95 : 6,437.03 = 2,099.80 : x
  2. Step 2: Convert to fraction form
    4,290.95/6,437.03 = 2,099.80/x
  3. Step 3: Cross multiply
    4,290.95x = 6,437.03 × 2,099.80
  4. Step 4: Simplify right side
    4,290.95x = 13,516,475.59
  5. Step 5: Solve for x
    x = 13,516,475.59/4,290.95
  6. Step 6: Final answer
    x = 3,150.00

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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.