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Finding the Fourth Proportional to 5,870.64, 8,840.82 and 5,110.32

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Solution

The fourth proportional to 5,870.64, 8,840.82 and 5,110.32 is: 7,695.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870.64 : 8,840.82 = 5,110.32 : x
  2. Step 2: Convert to fraction form
    5,870.64/8,840.82 = 5,110.32/x
  3. Step 3: Cross multiply
    5,870.64x = 8,840.82 × 5,110.32
  4. Step 4: Simplify right side
    5,870.64x = 45,179,419.26
  5. Step 5: Solve for x
    x = 45,179,419.26/5,870.64
  6. Step 6: Final answer
    x = 7,695.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.