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Finding the Fourth Proportional to 4,606.60, 6,901.80 and 3,780.40

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Solution

The fourth proportional to 4,606.60, 6,901.80 and 3,780.40 is: 5,663.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.60 : 6,901.80 = 3,780.40 : x
  2. Step 2: Convert to fraction form
    4,606.60/6,901.80 = 3,780.40/x
  3. Step 3: Cross multiply
    4,606.60x = 6,901.80 × 3,780.40
  4. Step 4: Simplify right side
    4,606.60x = 26,091,564.72
  5. Step 5: Solve for x
    x = 26,091,564.72/4,606.60
  6. Step 6: Final answer
    x = 5,663.95

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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.