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Finding the Fourth Proportional to 4,328.80, 5,973.12 and 2,465.76

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Solution

The fourth proportional to 4,328.80, 5,973.12 and 2,465.76 is: 3,402.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,328.80 : 5,973.12 = 2,465.76 : x
  2. Step 2: Convert to fraction form
    4,328.80/5,973.12 = 2,465.76/x
  3. Step 3: Cross multiply
    4,328.80x = 5,973.12 × 2,465.76
  4. Step 4: Simplify right side
    4,328.80x = 14,728,280.37
  5. Step 5: Solve for x
    x = 14,728,280.37/4,328.80
  6. Step 6: Final answer
    x = 3,402.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.