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Finding the Fourth Proportional to 5,765.12, 8,650.80 and 4,030.40

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Solution

The fourth proportional to 5,765.12, 8,650.80 and 4,030.40 is: 6,047.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.12 : 8,650.80 = 4,030.40 : x
  2. Step 2: Convert to fraction form
    5,765.12/8,650.80 = 4,030.40/x
  3. Step 3: Cross multiply
    5,765.12x = 8,650.80 × 4,030.40
  4. Step 4: Simplify right side
    5,765.12x = 34,866,184.32
  5. Step 5: Solve for x
    x = 34,866,184.32/5,765.12
  6. Step 6: Final answer
    x = 6,047.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.