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Finding the Fourth Proportional to 3,848.61, 5,762.64 and 2,454.40

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Solution

The fourth proportional to 3,848.61, 5,762.64 and 2,454.40 is: 3,675.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.61 : 5,762.64 = 2,454.40 : x
  2. Step 2: Convert to fraction form
    3,848.61/5,762.64 = 2,454.40/x
  3. Step 3: Cross multiply
    3,848.61x = 5,762.64 × 2,454.40
  4. Step 4: Simplify right side
    3,848.61x = 14,143,823.62
  5. Step 5: Solve for x
    x = 14,143,823.62/3,848.61
  6. Step 6: Final answer
    x = 3,675.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.