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Finding the Fourth Proportional to 4,337.09, 6,507.65 and 1,376.00

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Solution

The fourth proportional to 4,337.09, 6,507.65 and 1,376.00 is: 2,064.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,337.09 : 6,507.65 = 1,376.00 : x
  2. Step 2: Convert to fraction form
    4,337.09/6,507.65 = 1,376.00/x
  3. Step 3: Cross multiply
    4,337.09x = 6,507.65 × 1,376.00
  4. Step 4: Simplify right side
    4,337.09x = 8,954,513.97
  5. Step 5: Solve for x
    x = 8,954,513.97/4,337.09
  6. Step 6: Final answer
    x = 2,064.64

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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.