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Finding the Fourth Proportional to 5,145.98, 7,717.62 and 1,858.46

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Solution

The fourth proportional to 5,145.98, 7,717.62 and 1,858.46 is: 2,787.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.98 : 7,717.62 = 1,858.46 : x
  2. Step 2: Convert to fraction form
    5,145.98/7,717.62 = 1,858.46/x
  3. Step 3: Cross multiply
    5,145.98x = 7,717.62 × 1,858.46
  4. Step 4: Simplify right side
    5,145.98x = 14,342,888.07
  5. Step 5: Solve for x
    x = 14,342,888.07/5,145.98
  6. Step 6: Final answer
    x = 2,787.20

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1.5x scale

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.