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Finding the Fourth Proportional to 4,744.64, 7,118.14 and 1,970.48

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Solution

The fourth proportional to 4,744.64, 7,118.14 and 1,970.48 is: 2,956.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744.64 : 7,118.14 = 1,970.48 : x
  2. Step 2: Convert to fraction form
    4,744.64/7,118.14 = 1,970.48/x
  3. Step 3: Cross multiply
    4,744.64x = 7,118.14 × 1,970.48
  4. Step 4: Simplify right side
    4,744.64x = 14,026,152.51
  5. Step 5: Solve for x
    x = 14,026,152.51/4,744.64
  6. Step 6: Final answer
    x = 2,956.21

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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.