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Finding the Fourth Proportional to 3,347.50, 4,621.70 and 2,153.00

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Solution

The fourth proportional to 3,347.50, 4,621.70 and 2,153.00 is: 2,972.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,347.50 : 4,621.70 = 2,153.00 : x
  2. Step 2: Convert to fraction form
    3,347.50/4,621.70 = 2,153.00/x
  3. Step 3: Cross multiply
    3,347.50x = 4,621.70 × 2,153.00
  4. Step 4: Simplify right side
    3,347.50x = 9,950,486.23
  5. Step 5: Solve for x
    x = 9,950,486.23/3,347.50
  6. Step 6: Final answer
    x = 2,972.52

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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.