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Finding the Fourth Proportional to 4,711.35, 7,058.70 and 2,858.70

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Solution

The fourth proportional to 4,711.35, 7,058.70 and 2,858.70 is: 4,283.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.35 : 7,058.70 = 2,858.70 : x
  2. Step 2: Convert to fraction form
    4,711.35/7,058.70 = 2,858.70/x
  3. Step 3: Cross multiply
    4,711.35x = 7,058.70 × 2,858.70
  4. Step 4: Simplify right side
    4,711.35x = 20,178,692.45
  5. Step 5: Solve for x
    x = 20,178,692.45/4,711.35
  6. Step 6: Final answer
    x = 4,283.00

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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.