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Finding the Fourth Proportional to 4,907.65, 7,360.38 and 1,397.58

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Solution

The fourth proportional to 4,907.65, 7,360.38 and 1,397.58 is: 2,096.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.65 : 7,360.38 = 1,397.58 : x
  2. Step 2: Convert to fraction form
    4,907.65/7,360.38 = 1,397.58/x
  3. Step 3: Cross multiply
    4,907.65x = 7,360.38 × 1,397.58
  4. Step 4: Simplify right side
    4,907.65x = 10,286,719.88
  5. Step 5: Solve for x
    x = 10,286,719.88/4,907.65
  6. Step 6: Final answer
    x = 2,096.06

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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.