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Finding the Fourth Proportional to 4,706.02, 6,494.34 and 2,610.28

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Solution

The fourth proportional to 4,706.02, 6,494.34 and 2,610.28 is: 3,602.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.02 : 6,494.34 = 2,610.28 : x
  2. Step 2: Convert to fraction form
    4,706.02/6,494.34 = 2,610.28/x
  3. Step 3: Cross multiply
    4,706.02x = 6,494.34 × 2,610.28
  4. Step 4: Simplify right side
    4,706.02x = 16,952,045.82
  5. Step 5: Solve for x
    x = 16,952,045.82/4,706.02
  6. Step 6: Final answer
    x = 3,602.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.