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Finding the Fourth Proportional to 3,111.32, 4,666.98 and 2,955.60

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Solution

The fourth proportional to 3,111.32, 4,666.98 and 2,955.60 is: 4,433.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.32 : 4,666.98 = 2,955.60 : x
  2. Step 2: Convert to fraction form
    3,111.32/4,666.98 = 2,955.60/x
  3. Step 3: Cross multiply
    3,111.32x = 4,666.98 × 2,955.60
  4. Step 4: Simplify right side
    3,111.32x = 13,793,726.09
  5. Step 5: Solve for x
    x = 13,793,726.09/3,111.32
  6. Step 6: Final answer
    x = 4,433.40

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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.