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Finding the Fourth Proportional to 3,038.67, 4,557.20 and 847.53

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Solution

The fourth proportional to 3,038.67, 4,557.20 and 847.53 is: 1,271.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.67 : 4,557.20 = 847.53 : x
  2. Step 2: Convert to fraction form
    3,038.67/4,557.20 = 847.53/x
  3. Step 3: Cross multiply
    3,038.67x = 4,557.20 × 847.53
  4. Step 4: Simplify right side
    3,038.67x = 3,862,359.48
  5. Step 5: Solve for x
    x = 3,862,359.48/3,038.67
  6. Step 6: Final answer
    x = 1,271.07

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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.