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Finding the Fourth Proportional to 4,970.16, 6,858.48 and 2,981.64

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Solution

The fourth proportional to 4,970.16, 6,858.48 and 2,981.64 is: 4,114.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.16 : 6,858.48 = 2,981.64 : x
  2. Step 2: Convert to fraction form
    4,970.16/6,858.48 = 2,981.64/x
  3. Step 3: Cross multiply
    4,970.16x = 6,858.48 × 2,981.64
  4. Step 4: Simplify right side
    4,970.16x = 20,449,518.31
  5. Step 5: Solve for x
    x = 20,449,518.31/4,970.16
  6. Step 6: Final answer
    x = 4,114.46

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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.