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Finding the Fourth Proportional to 4,870.86, 7,295.76 and 2,557.50

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Solution

The fourth proportional to 4,870.86, 7,295.76 and 2,557.50 is: 3,830.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,870.86 : 7,295.76 = 2,557.50 : x
  2. Step 2: Convert to fraction form
    4,870.86/7,295.76 = 2,557.50/x
  3. Step 3: Cross multiply
    4,870.86x = 7,295.76 × 2,557.50
  4. Step 4: Simplify right side
    4,870.86x = 18,658,906.20
  5. Step 5: Solve for x
    x = 18,658,906.20/4,870.86
  6. Step 6: Final answer
    x = 3,830.72

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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.