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Finding the Fourth Proportional to 5,830.32, 8,745.84 and 1,670.16

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Solution

The fourth proportional to 5,830.32, 8,745.84 and 1,670.16 is: 2,505.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.32 : 8,745.84 = 1,670.16 : x
  2. Step 2: Convert to fraction form
    5,830.32/8,745.84 = 1,670.16/x
  3. Step 3: Cross multiply
    5,830.32x = 8,745.84 × 1,670.16
  4. Step 4: Simplify right side
    5,830.32x = 14,606,952.13
  5. Step 5: Solve for x
    x = 14,606,952.13/5,830.32
  6. Step 6: Final answer
    x = 2,505.34

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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.