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Finding the Fourth Proportional to 4,398.50, 6,594.01 and 1,931.45

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Solution

The fourth proportional to 4,398.50, 6,594.01 and 1,931.45 is: 2,895.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,398.50 : 6,594.01 = 1,931.45 : x
  2. Step 2: Convert to fraction form
    4,398.50/6,594.01 = 1,931.45/x
  3. Step 3: Cross multiply
    4,398.50x = 6,594.01 × 1,931.45
  4. Step 4: Simplify right side
    4,398.50x = 12,735,962.82
  5. Step 5: Solve for x
    x = 12,735,962.82/4,398.50
  6. Step 6: Final answer
    x = 2,895.52

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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.