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Finding the Fourth Proportional to 4,434.35, 6,653.06 and 1,970.90

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Solution

The fourth proportional to 4,434.35, 6,653.06 and 1,970.90 is: 2,957.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,434.35 : 6,653.06 = 1,970.90 : x
  2. Step 2: Convert to fraction form
    4,434.35/6,653.06 = 1,970.90/x
  3. Step 3: Cross multiply
    4,434.35x = 6,653.06 × 1,970.90
  4. Step 4: Simplify right side
    4,434.35x = 13,112,472.83
  5. Step 5: Solve for x
    x = 13,112,472.83/4,434.35
  6. Step 6: Final answer
    x = 2,957.03

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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.