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Finding the Fourth Proportional to 4,290.66, 6,438.46 and 2,316.28

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Solution

The fourth proportional to 4,290.66, 6,438.46 and 2,316.28 is: 3,475.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,290.66 : 6,438.46 = 2,316.28 : x
  2. Step 2: Convert to fraction form
    4,290.66/6,438.46 = 2,316.28/x
  3. Step 3: Cross multiply
    4,290.66x = 6,438.46 × 2,316.28
  4. Step 4: Simplify right side
    4,290.66x = 14,913,276.13
  5. Step 5: Solve for x
    x = 14,913,276.13/4,290.66
  6. Step 6: Final answer
    x = 3,475.75

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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.