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Finding the Fourth Proportional to 4,064.16, 6,094.52 and 1,754

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Solution

The fourth proportional to 4,064.16, 6,094.52 and 1,754 is: 2,630.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,064.16 : 6,094.52 = 1,754 : x
  2. Step 2: Convert to fraction form
    4,064.16/6,094.52 = 1,754/x
  3. Step 3: Cross multiply
    4,064.16x = 6,094.52 × 1,754
  4. Step 4: Simplify right side
    4,064.16x = 10,689,788.08
  5. Step 5: Solve for x
    x = 10,689,788.08/4,064.16
  6. Step 6: Final answer
    x = 2,630.26

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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.