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Finding the Fourth Proportional to 4,600.58, 6,901.95 and 1,313.72

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Solution

The fourth proportional to 4,600.58, 6,901.95 and 1,313.72 is: 1,970.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.58 : 6,901.95 = 1,313.72 : x
  2. Step 2: Convert to fraction form
    4,600.58/6,901.95 = 1,313.72/x
  3. Step 3: Cross multiply
    4,600.58x = 6,901.95 × 1,313.72
  4. Step 4: Simplify right side
    4,600.58x = 9,067,229.75
  5. Step 5: Solve for x
    x = 9,067,229.75/4,600.58
  6. Step 6: Final answer
    x = 1,970.89

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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.