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Finding the Fourth Proportional to 4,868.48, 7,300.56 and 2,270

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Solution

The fourth proportional to 4,868.48, 7,300.56 and 2,270 is: 3,403.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,868.48 : 7,300.56 = 2,270 : x
  2. Step 2: Convert to fraction form
    4,868.48/7,300.56 = 2,270/x
  3. Step 3: Cross multiply
    4,868.48x = 7,300.56 × 2,270
  4. Step 4: Simplify right side
    4,868.48x = 16,572,271.20
  5. Step 5: Solve for x
    x = 16,572,271.20/4,868.48
  6. Step 6: Final answer
    x = 3,403.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.