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Finding the Fourth Proportional to 3,873.84, 5,342.40 and 2,547.08

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Solution

The fourth proportional to 3,873.84, 5,342.40 and 2,547.08 is: 3,512.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.84 : 5,342.40 = 2,547.08 : x
  2. Step 2: Convert to fraction form
    3,873.84/5,342.40 = 2,547.08/x
  3. Step 3: Cross multiply
    3,873.84x = 5,342.40 × 2,547.08
  4. Step 4: Simplify right side
    3,873.84x = 13,607,520.19
  5. Step 5: Solve for x
    x = 13,607,520.19/3,873.84
  6. Step 6: Final answer
    x = 3,512.67

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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.