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Finding the Fourth Proportional to 3,419.48, 5,130.02 and 1,470.60

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Solution

The fourth proportional to 3,419.48, 5,130.02 and 1,470.60 is: 2,206.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.48 : 5,130.02 = 1,470.60 : x
  2. Step 2: Convert to fraction form
    3,419.48/5,130.02 = 1,470.60/x
  3. Step 3: Cross multiply
    3,419.48x = 5,130.02 × 1,470.60
  4. Step 4: Simplify right side
    3,419.48x = 7,544,207.41
  5. Step 5: Solve for x
    x = 7,544,207.41/3,419.48
  6. Step 6: Final answer
    x = 2,206.24

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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.