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Finding the Fourth Proportional to 4,102.65, 6,153.65 and 2,458.01

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Solution

The fourth proportional to 4,102.65, 6,153.65 and 2,458.01 is: 3,686.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.65 : 6,153.65 = 2,458.01 : x
  2. Step 2: Convert to fraction form
    4,102.65/6,153.65 = 2,458.01/x
  3. Step 3: Cross multiply
    4,102.65x = 6,153.65 × 2,458.01
  4. Step 4: Simplify right side
    4,102.65x = 15,125,690.18
  5. Step 5: Solve for x
    x = 15,125,690.18/4,102.65
  6. Step 6: Final answer
    x = 3,686.81

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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.