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Finding the Fourth Proportional to 4,657.51, 6,428.28 and 2,669.40

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Solution

The fourth proportional to 4,657.51, 6,428.28 and 2,669.40 is: 3,684.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.51 : 6,428.28 = 2,669.40 : x
  2. Step 2: Convert to fraction form
    4,657.51/6,428.28 = 2,669.40/x
  3. Step 3: Cross multiply
    4,657.51x = 6,428.28 × 2,669.40
  4. Step 4: Simplify right side
    4,657.51x = 17,159,645.63
  5. Step 5: Solve for x
    x = 17,159,645.63/4,657.51
  6. Step 6: Final answer
    x = 3,684.30

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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.