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Finding the Fourth Proportional to 4,470.66, 6,698.84 and 3,774.06

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Solution

The fourth proportional to 4,470.66, 6,698.84 and 3,774.06 is: 5,655.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470.66 : 6,698.84 = 3,774.06 : x
  2. Step 2: Convert to fraction form
    4,470.66/6,698.84 = 3,774.06/x
  3. Step 3: Cross multiply
    4,470.66x = 6,698.84 × 3,774.06
  4. Step 4: Simplify right side
    4,470.66x = 25,281,805.22
  5. Step 5: Solve for x
    x = 25,281,805.22/4,470.66
  6. Step 6: Final answer
    x = 5,655.05

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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.