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Finding the Fourth Proportional to 4,122, 5,688.72 and 2,259.36

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Solution

The fourth proportional to 4,122, 5,688.72 and 2,259.36 is: 3,118.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122 : 5,688.72 = 2,259.36 : x
  2. Step 2: Convert to fraction form
    4,122/5,688.72 = 2,259.36/x
  3. Step 3: Cross multiply
    4,122x = 5,688.72 × 2,259.36
  4. Step 4: Simplify right side
    4,122x = 12,852,866.42
  5. Step 5: Solve for x
    x = 12,852,866.42/4,122
  6. Step 6: Final answer
    x = 3,118.11

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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.