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Finding the Fourth Proportional to 4,762.06, 6,570.12 and 2,665.78

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Solution

The fourth proportional to 4,762.06, 6,570.12 and 2,665.78 is: 3,677.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.06 : 6,570.12 = 2,665.78 : x
  2. Step 2: Convert to fraction form
    4,762.06/6,570.12 = 2,665.78/x
  3. Step 3: Cross multiply
    4,762.06x = 6,570.12 × 2,665.78
  4. Step 4: Simplify right side
    4,762.06x = 17,514,494.49
  5. Step 5: Solve for x
    x = 17,514,494.49/4,762.06
  6. Step 6: Final answer
    x = 3,677.92

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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.