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Finding the Fourth Proportional to 3,360, 4,637.76 and 2,968.32

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Solution

The fourth proportional to 3,360, 4,637.76 and 2,968.32 is: 4,097.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,360 : 4,637.76 = 2,968.32 : x
  2. Step 2: Convert to fraction form
    3,360/4,637.76 = 2,968.32/x
  3. Step 3: Cross multiply
    3,360x = 4,637.76 × 2,968.32
  4. Step 4: Simplify right side
    3,360x = 13,766,355.76
  5. Step 5: Solve for x
    x = 13,766,355.76/3,360
  6. Step 6: Final answer
    x = 4,097.13

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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.