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Finding the Fourth Proportional to 4,158.34, 6,237.57 and 1,038.34

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Solution

The fourth proportional to 4,158.34, 6,237.57 and 1,038.34 is: 1,557.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,158.34 : 6,237.57 = 1,038.34 : x
  2. Step 2: Convert to fraction form
    4,158.34/6,237.57 = 1,038.34/x
  3. Step 3: Cross multiply
    4,158.34x = 6,237.57 × 1,038.34
  4. Step 4: Simplify right side
    4,158.34x = 6,476,718.43
  5. Step 5: Solve for x
    x = 6,476,718.43/4,158.34
  6. Step 6: Final answer
    x = 1,557.52

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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.