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Finding the Fourth Proportional to 4,435.47, 6,654.69 and 1,970.46

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Solution

The fourth proportional to 4,435.47, 6,654.69 and 1,970.46 is: 2,956.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,435.47 : 6,654.69 = 1,970.46 : x
  2. Step 2: Convert to fraction form
    4,435.47/6,654.69 = 1,970.46/x
  3. Step 3: Cross multiply
    4,435.47x = 6,654.69 × 1,970.46
  4. Step 4: Simplify right side
    4,435.47x = 13,112,800.46
  5. Step 5: Solve for x
    x = 13,112,800.46/4,435.47
  6. Step 6: Final answer
    x = 2,956.35

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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.