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Finding the Fourth Proportional to 3,470.40, 5,204.79 and 2,374.47

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Solution

The fourth proportional to 3,470.40, 5,204.79 and 2,374.47 is: 3,561.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.40 : 5,204.79 = 2,374.47 : x
  2. Step 2: Convert to fraction form
    3,470.40/5,204.79 = 2,374.47/x
  3. Step 3: Cross multiply
    3,470.40x = 5,204.79 × 2,374.47
  4. Step 4: Simplify right side
    3,470.40x = 12,358,617.71
  5. Step 5: Solve for x
    x = 12,358,617.71/3,470.40
  6. Step 6: Final answer
    x = 3,561.15

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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.