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Finding the Fourth Proportional to 5,953.10, 8,930.07 and 1,570.50

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Solution

The fourth proportional to 5,953.10, 8,930.07 and 1,570.50 is: 2,355.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.10 : 8,930.07 = 1,570.50 : x
  2. Step 2: Convert to fraction form
    5,953.10/8,930.07 = 1,570.50/x
  3. Step 3: Cross multiply
    5,953.10x = 8,930.07 × 1,570.50
  4. Step 4: Simplify right side
    5,953.10x = 14,024,674.94
  5. Step 5: Solve for x
    x = 14,024,674.94/5,953.10
  6. Step 6: Final answer
    x = 2,355.86

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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.