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Finding the Fourth Proportional to 4,587.50, 6,332.19 and 2,931.50

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Solution

The fourth proportional to 4,587.50, 6,332.19 and 2,931.50 is: 4,046.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,587.50 : 6,332.19 = 2,931.50 : x
  2. Step 2: Convert to fraction form
    4,587.50/6,332.19 = 2,931.50/x
  3. Step 3: Cross multiply
    4,587.50x = 6,332.19 × 2,931.50
  4. Step 4: Simplify right side
    4,587.50x = 18,562,814.99
  5. Step 5: Solve for x
    x = 18,562,814.99/4,587.50
  6. Step 6: Final answer
    x = 4,046.39

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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.