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Finding the Fourth Proportional to 3,509.75, 4,837.68 and 2,488.04

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Solution

The fourth proportional to 3,509.75, 4,837.68 and 2,488.04 is: 3,429.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.75 : 4,837.68 = 2,488.04 : x
  2. Step 2: Convert to fraction form
    3,509.75/4,837.68 = 2,488.04/x
  3. Step 3: Cross multiply
    3,509.75x = 4,837.68 × 2,488.04
  4. Step 4: Simplify right side
    3,509.75x = 12,036,341.35
  5. Step 5: Solve for x
    x = 12,036,341.35/3,509.75
  6. Step 6: Final answer
    x = 3,429.40

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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.