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Finding the Fourth Proportional to 5,135.70, 7,703.56 and 1,848.62

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Solution

The fourth proportional to 5,135.70, 7,703.56 and 1,848.62 is: 2,772.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.70 : 7,703.56 = 1,848.62 : x
  2. Step 2: Convert to fraction form
    5,135.70/7,703.56 = 1,848.62/x
  3. Step 3: Cross multiply
    5,135.70x = 7,703.56 × 1,848.62
  4. Step 4: Simplify right side
    5,135.70x = 14,240,966.26
  5. Step 5: Solve for x
    x = 14,240,966.26/5,135.70
  6. Step 6: Final answer
    x = 2,772.93

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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.