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Finding the Fourth Proportional to 5,725.32, 7,841.72 and 5,389.08

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Solution

The fourth proportional to 5,725.32, 7,841.72 and 5,389.08 is: 7,381.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725.32 : 7,841.72 = 5,389.08 : x
  2. Step 2: Convert to fraction form
    5,725.32/7,841.72 = 5,389.08/x
  3. Step 3: Cross multiply
    5,725.32x = 7,841.72 × 5,389.08
  4. Step 4: Simplify right side
    5,725.32x = 42,259,656.42
  5. Step 5: Solve for x
    x = 42,259,656.42/5,725.32
  6. Step 6: Final answer
    x = 7,381.19

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.