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Finding the Fourth Proportional to 4,646.65, 6,412.41 and 2,657.23

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Solution

The fourth proportional to 4,646.65, 6,412.41 and 2,657.23 is: 3,667.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.65 : 6,412.41 = 2,657.23 : x
  2. Step 2: Convert to fraction form
    4,646.65/6,412.41 = 2,657.23/x
  3. Step 3: Cross multiply
    4,646.65x = 6,412.41 × 2,657.23
  4. Step 4: Simplify right side
    4,646.65x = 17,039,248.22
  5. Step 5: Solve for x
    x = 17,039,248.22/4,646.65
  6. Step 6: Final answer
    x = 3,667.00

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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.