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Finding the Fourth Proportional to 3,402.65, 4,695.37 and 2,058.76

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Solution

The fourth proportional to 3,402.65, 4,695.37 and 2,058.76 is: 2,840.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.65 : 4,695.37 = 2,058.76 : x
  2. Step 2: Convert to fraction form
    3,402.65/4,695.37 = 2,058.76/x
  3. Step 3: Cross multiply
    3,402.65x = 4,695.37 × 2,058.76
  4. Step 4: Simplify right side
    3,402.65x = 9,666,639.94
  5. Step 5: Solve for x
    x = 9,666,639.94/3,402.65
  6. Step 6: Final answer
    x = 2,840.92

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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.