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Finding the Fourth Proportional to 4,577.90, 6,899.08 and 4,139.64

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Solution

The fourth proportional to 4,577.90, 6,899.08 and 4,139.64 is: 6,238.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577.90 : 6,899.08 = 4,139.64 : x
  2. Step 2: Convert to fraction form
    4,577.90/6,899.08 = 4,139.64/x
  3. Step 3: Cross multiply
    4,577.90x = 6,899.08 × 4,139.64
  4. Step 4: Simplify right side
    4,577.90x = 28,559,707.53
  5. Step 5: Solve for x
    x = 28,559,707.53/4,577.90
  6. Step 6: Final answer
    x = 6,238.60

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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.