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Finding the Fourth Proportional to 3,415.98, 5,124.32 and 1,307.60

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Solution

The fourth proportional to 3,415.98, 5,124.32 and 1,307.60 is: 1,961.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.98 : 5,124.32 = 1,307.60 : x
  2. Step 2: Convert to fraction form
    3,415.98/5,124.32 = 1,307.60/x
  3. Step 3: Cross multiply
    3,415.98x = 5,124.32 × 1,307.60
  4. Step 4: Simplify right side
    3,415.98x = 6,700,560.83
  5. Step 5: Solve for x
    x = 6,700,560.83/3,415.98
  6. Step 6: Final answer
    x = 1,961.54

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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.