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Finding the Fourth Proportional to 4,782.80, 6,598.40 and 3,526.84

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Solution

The fourth proportional to 4,782.80, 6,598.40 and 3,526.84 is: 4,865.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.80 : 6,598.40 = 3,526.84 : x
  2. Step 2: Convert to fraction form
    4,782.80/6,598.40 = 3,526.84/x
  3. Step 3: Cross multiply
    4,782.80x = 6,598.40 × 3,526.84
  4. Step 4: Simplify right side
    4,782.80x = 23,271,493.38
  5. Step 5: Solve for x
    x = 23,271,493.38/4,782.80
  6. Step 6: Final answer
    x = 4,865.67

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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.