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Finding the Fourth Proportional to 4,470.02, 6,169.98 and 3,294.50

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Solution

The fourth proportional to 4,470.02, 6,169.98 and 3,294.50 is: 4,547.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470.02 : 6,169.98 = 3,294.50 : x
  2. Step 2: Convert to fraction form
    4,470.02/6,169.98 = 3,294.50/x
  3. Step 3: Cross multiply
    4,470.02x = 6,169.98 × 3,294.50
  4. Step 4: Simplify right side
    4,470.02x = 20,326,999.11
  5. Step 5: Solve for x
    x = 20,326,999.11/4,470.02
  6. Step 6: Final answer
    x = 4,547.41

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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.