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Finding the Fourth Proportional to 4,646.54, 6,412.23 and 2,657.08

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Solution

The fourth proportional to 4,646.54, 6,412.23 and 2,657.08 is: 3,666.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.54 : 6,412.23 = 2,657.08 : x
  2. Step 2: Convert to fraction form
    4,646.54/6,412.23 = 2,657.08/x
  3. Step 3: Cross multiply
    4,646.54x = 6,412.23 × 2,657.08
  4. Step 4: Simplify right side
    4,646.54x = 17,037,816.10
  5. Step 5: Solve for x
    x = 17,037,816.10/4,646.54
  6. Step 6: Final answer
    x = 3,666.77

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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.