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Finding the Fourth Proportional to 4,657.29, 6,986.16 and 1,370.41

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Solution

The fourth proportional to 4,657.29, 6,986.16 and 1,370.41 is: 2,055.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.29 : 6,986.16 = 1,370.41 : x
  2. Step 2: Convert to fraction form
    4,657.29/6,986.16 = 1,370.41/x
  3. Step 3: Cross multiply
    4,657.29x = 6,986.16 × 1,370.41
  4. Step 4: Simplify right side
    4,657.29x = 9,573,886.06
  5. Step 5: Solve for x
    x = 9,573,886.06/4,657.29
  6. Step 6: Final answer
    x = 2,055.68

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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.