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Finding the Fourth Proportional to 5,780.40, 8,658.45 and 4,686.90

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Solution

The fourth proportional to 5,780.40, 8,658.45 and 4,686.90 is: 7,020.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.40 : 8,658.45 = 4,686.90 : x
  2. Step 2: Convert to fraction form
    5,780.40/8,658.45 = 4,686.90/x
  3. Step 3: Cross multiply
    5,780.40x = 8,658.45 × 4,686.90
  4. Step 4: Simplify right side
    5,780.40x = 40,581,289.31
  5. Step 5: Solve for x
    x = 40,581,289.31/5,780.40
  6. Step 6: Final answer
    x = 7,020.50

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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.