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Finding the Fourth Proportional to 3,498.12, 4,828.06 and 2,657.32

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Solution

The fourth proportional to 3,498.12, 4,828.06 and 2,657.32 is: 3,667.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.12 : 4,828.06 = 2,657.32 : x
  2. Step 2: Convert to fraction form
    3,498.12/4,828.06 = 2,657.32/x
  3. Step 3: Cross multiply
    3,498.12x = 4,828.06 × 2,657.32
  4. Step 4: Simplify right side
    3,498.12x = 12,829,700.40
  5. Step 5: Solve for x
    x = 12,829,700.40/3,498.12
  6. Step 6: Final answer
    x = 3,667.60

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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.