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Finding the Fourth Proportional to 5,570.86, 8,351.06 and 1,870.50

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Solution

The fourth proportional to 5,570.86, 8,351.06 and 1,870.50 is: 2,803.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,570.86 : 8,351.06 = 1,870.50 : x
  2. Step 2: Convert to fraction form
    5,570.86/8,351.06 = 1,870.50/x
  3. Step 3: Cross multiply
    5,570.86x = 8,351.06 × 1,870.50
  4. Step 4: Simplify right side
    5,570.86x = 15,620,655.39
  5. Step 5: Solve for x
    x = 15,620,655.39/5,570.86
  6. Step 6: Final answer
    x = 2,803.99

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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.