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Finding the Fourth Proportional to 4,970.40, 7,455.60 and 4,893.60

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Solution

The fourth proportional to 4,970.40, 7,455.60 and 4,893.60 is: 7,340.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.40 : 7,455.60 = 4,893.60 : x
  2. Step 2: Convert to fraction form
    4,970.40/7,455.60 = 4,893.60/x
  3. Step 3: Cross multiply
    4,970.40x = 7,455.60 × 4,893.60
  4. Step 4: Simplify right side
    4,970.40x = 36,484,724.16
  5. Step 5: Solve for x
    x = 36,484,724.16/4,970.40
  6. Step 6: Final answer
    x = 7,340.40

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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.