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Finding the Fourth Proportional to 4,645.65, 6,410.95 and 2,656.70

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Solution

The fourth proportional to 4,645.65, 6,410.95 and 2,656.70 is: 3,666.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.65 : 6,410.95 = 2,656.70 : x
  2. Step 2: Convert to fraction form
    4,645.65/6,410.95 = 2,656.70/x
  3. Step 3: Cross multiply
    4,645.65x = 6,410.95 × 2,656.70
  4. Step 4: Simplify right side
    4,645.65x = 17,031,956.21
  5. Step 5: Solve for x
    x = 17,031,956.21/4,645.65
  6. Step 6: Final answer
    x = 3,666.21

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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.