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Finding the Fourth Proportional to 5,672.58, 8,500.68 and 4,977.60

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Solution

The fourth proportional to 5,672.58, 8,500.68 and 4,977.60 is: 7,459.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.58 : 8,500.68 = 4,977.60 : x
  2. Step 2: Convert to fraction form
    5,672.58/8,500.68 = 4,977.60/x
  3. Step 3: Cross multiply
    5,672.58x = 8,500.68 × 4,977.60
  4. Step 4: Simplify right side
    5,672.58x = 42,312,984.77
  5. Step 5: Solve for x
    x = 42,312,984.77/5,672.58
  6. Step 6: Final answer
    x = 7,459.21

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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.