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Finding the Fourth Proportional to 4,038.50, 6,057.76 and 1,302.50

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Solution

The fourth proportional to 4,038.50, 6,057.76 and 1,302.50 is: 1,953.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,038.50 : 6,057.76 = 1,302.50 : x
  2. Step 2: Convert to fraction form
    4,038.50/6,057.76 = 1,302.50/x
  3. Step 3: Cross multiply
    4,038.50x = 6,057.76 × 1,302.50
  4. Step 4: Simplify right side
    4,038.50x = 7,890,232.40
  5. Step 5: Solve for x
    x = 7,890,232.40/4,038.50
  6. Step 6: Final answer
    x = 1,953.75

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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.