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Finding the Fourth Proportional to 4,038.72, 6,057.12 and 1,117.32

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Solution

The fourth proportional to 4,038.72, 6,057.12 and 1,117.32 is: 1,675.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,038.72 : 6,057.12 = 1,117.32 : x
  2. Step 2: Convert to fraction form
    4,038.72/6,057.12 = 1,117.32/x
  3. Step 3: Cross multiply
    4,038.72x = 6,057.12 × 1,117.32
  4. Step 4: Simplify right side
    4,038.72x = 6,767,741.32
  5. Step 5: Solve for x
    x = 6,767,741.32/4,038.72
  6. Step 6: Final answer
    x = 1,675.71

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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.