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Finding the Fourth Proportional to 5,037.50, 7,555.64 and 1,340.00

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Solution

The fourth proportional to 5,037.50, 7,555.64 and 1,340.00 is: 2,009.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,037.50 : 7,555.64 = 1,340.00 : x
  2. Step 2: Convert to fraction form
    5,037.50/7,555.64 = 1,340.00/x
  3. Step 3: Cross multiply
    5,037.50x = 7,555.64 × 1,340.00
  4. Step 4: Simplify right side
    5,037.50x = 10,124,569.79
  5. Step 5: Solve for x
    x = 10,124,569.79/5,037.50
  6. Step 6: Final answer
    x = 2,009.84

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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.