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Finding the Fourth Proportional to 5,070.50, 7,606.14 and 1,607.78

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Solution

The fourth proportional to 5,070.50, 7,606.14 and 1,607.78 is: 2,411.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.50 : 7,606.14 = 1,607.78 : x
  2. Step 2: Convert to fraction form
    5,070.50/7,606.14 = 1,607.78/x
  3. Step 3: Cross multiply
    5,070.50x = 7,606.14 × 1,607.78
  4. Step 4: Simplify right side
    5,070.50x = 12,228,999.77
  5. Step 5: Solve for x
    x = 12,228,999.77/5,070.50
  6. Step 6: Final answer
    x = 2,411.79

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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.