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Finding the Fourth Proportional to 4,972.61, 7,458.93 and 1,509.86

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Solution

The fourth proportional to 4,972.61, 7,458.93 and 1,509.86 is: 2,264.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.61 : 7,458.93 = 1,509.86 : x
  2. Step 2: Convert to fraction form
    4,972.61/7,458.93 = 1,509.86/x
  3. Step 3: Cross multiply
    4,972.61x = 7,458.93 × 1,509.86
  4. Step 4: Simplify right side
    4,972.61x = 11,261,902.76
  5. Step 5: Solve for x
    x = 11,261,902.76/4,972.61
  6. Step 6: Final answer
    x = 2,264.79

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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.