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Finding the Fourth Proportional to 5,285.51, 7,294.10 and 3,047

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Solution

The fourth proportional to 5,285.51, 7,294.10 and 3,047 is: 4,204.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.51 : 7,294.10 = 3,047 : x
  2. Step 2: Convert to fraction form
    5,285.51/7,294.10 = 3,047/x
  3. Step 3: Cross multiply
    5,285.51x = 7,294.10 × 3,047
  4. Step 4: Simplify right side
    5,285.51x = 22,225,122.70
  5. Step 5: Solve for x
    x = 22,225,122.70/5,285.51
  6. Step 6: Final answer
    x = 4,204.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.