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Finding the Fourth Proportional to 5,671.68, 8,507.04 and 1,776

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Solution

The fourth proportional to 5,671.68, 8,507.04 and 1,776 is: 2,663.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.68 : 8,507.04 = 1,776 : x
  2. Step 2: Convert to fraction form
    5,671.68/8,507.04 = 1,776/x
  3. Step 3: Cross multiply
    5,671.68x = 8,507.04 × 1,776
  4. Step 4: Simplify right side
    5,671.68x = 15,108,503.04
  5. Step 5: Solve for x
    x = 15,108,503.04/5,671.68
  6. Step 6: Final answer
    x = 2,663.85

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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.