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Finding the Fourth Proportional to 4,867.60, 7,301.40 and 4,320.40

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Solution

The fourth proportional to 4,867.60, 7,301.40 and 4,320.40 is: 6,480.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867.60 : 7,301.40 = 4,320.40 : x
  2. Step 2: Convert to fraction form
    4,867.60/7,301.40 = 4,320.40/x
  3. Step 3: Cross multiply
    4,867.60x = 7,301.40 × 4,320.40
  4. Step 4: Simplify right side
    4,867.60x = 31,544,968.56
  5. Step 5: Solve for x
    x = 31,544,968.56/4,867.60
  6. Step 6: Final answer
    x = 6,480.60

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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.