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Finding the Fourth Proportional to 3,510.04, 5,265.74 and 1,458.04

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Solution

The fourth proportional to 3,510.04, 5,265.74 and 1,458.04 is: 2,187.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.04 : 5,265.74 = 1,458.04 : x
  2. Step 2: Convert to fraction form
    3,510.04/5,265.74 = 1,458.04/x
  3. Step 3: Cross multiply
    3,510.04x = 5,265.74 × 1,458.04
  4. Step 4: Simplify right side
    3,510.04x = 7,677,659.55
  5. Step 5: Solve for x
    x = 7,677,659.55/3,510.04
  6. Step 6: Final answer
    x = 2,187.34

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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.