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Finding the Fourth Proportional to 3,397.87, 4,686.90 and 2,455.05

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Solution

The fourth proportional to 3,397.87, 4,686.90 and 2,455.05 is: 3,386.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.87 : 4,686.90 = 2,455.05 : x
  2. Step 2: Convert to fraction form
    3,397.87/4,686.90 = 2,455.05/x
  3. Step 3: Cross multiply
    3,397.87x = 4,686.90 × 2,455.05
  4. Step 4: Simplify right side
    3,397.87x = 11,506,538.14
  5. Step 5: Solve for x
    x = 11,506,538.14/3,397.87
  6. Step 6: Final answer
    x = 3,386.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.