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Finding the Fourth Proportional to 3,810.40, 5,746.72 and 3,637.60

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Solution

The fourth proportional to 3,810.40, 5,746.72 and 3,637.60 is: 5,486.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.40 : 5,746.72 = 3,637.60 : x
  2. Step 2: Convert to fraction form
    3,810.40/5,746.72 = 3,637.60/x
  3. Step 3: Cross multiply
    3,810.40x = 5,746.72 × 3,637.60
  4. Step 4: Simplify right side
    3,810.40x = 20,904,268.67
  5. Step 5: Solve for x
    x = 20,904,268.67/3,810.40
  6. Step 6: Final answer
    x = 5,486.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.