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Finding the Fourth Proportional to 4,303.64, 5,938.52 and 2,415.20

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Solution

The fourth proportional to 4,303.64, 5,938.52 and 2,415.20 is: 3,332.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,303.64 : 5,938.52 = 2,415.20 : x
  2. Step 2: Convert to fraction form
    4,303.64/5,938.52 = 2,415.20/x
  3. Step 3: Cross multiply
    4,303.64x = 5,938.52 × 2,415.20
  4. Step 4: Simplify right side
    4,303.64x = 14,342,713.50
  5. Step 5: Solve for x
    x = 14,342,713.50/4,303.64
  6. Step 6: Final answer
    x = 3,332.69

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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.