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Finding the Fourth Proportional to 4,133.04, 5,703.52 and 2,270

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Solution

The fourth proportional to 4,133.04, 5,703.52 and 2,270 is: 3,132.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133.04 : 5,703.52 = 2,270 : x
  2. Step 2: Convert to fraction form
    4,133.04/5,703.52 = 2,270/x
  3. Step 3: Cross multiply
    4,133.04x = 5,703.52 × 2,270
  4. Step 4: Simplify right side
    4,133.04x = 12,946,990.40
  5. Step 5: Solve for x
    x = 12,946,990.40/4,133.04
  6. Step 6: Final answer
    x = 3,132.56

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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.