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Finding the Fourth Proportional to 4,089.68, 5,643.68 and 2,411.16

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Solution

The fourth proportional to 4,089.68, 5,643.68 and 2,411.16 is: 3,327.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089.68 : 5,643.68 = 2,411.16 : x
  2. Step 2: Convert to fraction form
    4,089.68/5,643.68 = 2,411.16/x
  3. Step 3: Cross multiply
    4,089.68x = 5,643.68 × 2,411.16
  4. Step 4: Simplify right side
    4,089.68x = 13,607,815.47
  5. Step 5: Solve for x
    x = 13,607,815.47/4,089.68
  6. Step 6: Final answer
    x = 3,327.35

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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.