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Finding the Fourth Proportional to 6,130.95, 8,464.19 and 4,038.72

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Solution

The fourth proportional to 6,130.95, 8,464.19 and 4,038.72 is: 5,575.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.95 : 8,464.19 = 4,038.72 : x
  2. Step 2: Convert to fraction form
    6,130.95/8,464.19 = 4,038.72/x
  3. Step 3: Cross multiply
    6,130.95x = 8,464.19 × 4,038.72
  4. Step 4: Simplify right side
    6,130.95x = 34,184,493.44
  5. Step 5: Solve for x
    x = 34,184,493.44/6,130.95
  6. Step 6: Final answer
    x = 5,575.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.