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Finding the Fourth Proportional to 4,692.63, 7,040.82 and 2,058.74

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Solution

The fourth proportional to 4,692.63, 7,040.82 and 2,058.74 is: 3,088.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.63 : 7,040.82 = 2,058.74 : x
  2. Step 2: Convert to fraction form
    4,692.63/7,040.82 = 2,058.74/x
  3. Step 3: Cross multiply
    4,692.63x = 7,040.82 × 2,058.74
  4. Step 4: Simplify right side
    4,692.63x = 14,495,182.56
  5. Step 5: Solve for x
    x = 14,495,182.56/4,692.63
  6. Step 6: Final answer
    x = 3,088.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.