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Finding the Fourth Proportional to 4,647.51, 6,411.74 and 2,657.00

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Solution

The fourth proportional to 4,647.51, 6,411.74 and 2,657.00 is: 3,665.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.51 : 6,411.74 = 2,657.00 : x
  2. Step 2: Convert to fraction form
    4,647.51/6,411.74 = 2,657.00/x
  3. Step 3: Cross multiply
    4,647.51x = 6,411.74 × 2,657.00
  4. Step 4: Simplify right side
    4,647.51x = 17,036,022.08
  5. Step 5: Solve for x
    x = 17,036,022.08/4,647.51
  6. Step 6: Final answer
    x = 3,665.62

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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.