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Finding the Fourth Proportional to 3,312.81, 4,573.40 and 2,565.09

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Solution

The fourth proportional to 3,312.81, 4,573.40 and 2,565.09 is: 3,541.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.81 : 4,573.40 = 2,565.09 : x
  2. Step 2: Convert to fraction form
    3,312.81/4,573.40 = 2,565.09/x
  3. Step 3: Cross multiply
    3,312.81x = 4,573.40 × 2,565.09
  4. Step 4: Simplify right side
    3,312.81x = 11,731,169.78
  5. Step 5: Solve for x
    x = 11,731,169.78/3,312.81
  6. Step 6: Final answer
    x = 3,541.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.