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Finding the Fourth Proportional to 4,617.60, 6,368.16 and 3,830.40

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Solution

The fourth proportional to 4,617.60, 6,368.16 and 3,830.40 is: 5,282.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.60 : 6,368.16 = 3,830.40 : x
  2. Step 2: Convert to fraction form
    4,617.60/6,368.16 = 3,830.40/x
  3. Step 3: Cross multiply
    4,617.60x = 6,368.16 × 3,830.40
  4. Step 4: Simplify right side
    4,617.60x = 24,392,600.06
  5. Step 5: Solve for x
    x = 24,392,600.06/4,617.60
  6. Step 6: Final answer
    x = 5,282.53

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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.