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Finding the Fourth Proportional to 4,648.18, 6,411.81 and 2,784.10

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Solution

The fourth proportional to 4,648.18, 6,411.81 and 2,784.10 is: 3,840.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.18 : 6,411.81 = 2,784.10 : x
  2. Step 2: Convert to fraction form
    4,648.18/6,411.81 = 2,784.10/x
  3. Step 3: Cross multiply
    4,648.18x = 6,411.81 × 2,784.10
  4. Step 4: Simplify right side
    4,648.18x = 17,851,120.22
  5. Step 5: Solve for x
    x = 17,851,120.22/4,648.18
  6. Step 6: Final answer
    x = 3,840.45

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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.