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Finding the Fourth Proportional to 4,637.06, 6,970.65 and 3,722.64

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Solution

The fourth proportional to 4,637.06, 6,970.65 and 3,722.64 is: 5,596.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,637.06 : 6,970.65 = 3,722.64 : x
  2. Step 2: Convert to fraction form
    4,637.06/6,970.65 = 3,722.64/x
  3. Step 3: Cross multiply
    4,637.06x = 6,970.65 × 3,722.64
  4. Step 4: Simplify right side
    4,637.06x = 25,949,220.52
  5. Step 5: Solve for x
    x = 25,949,220.52/4,637.06
  6. Step 6: Final answer
    x = 5,596.05

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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.