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Finding the Fourth Proportional to 5,952.58, 8,929.78 and 1,570.39

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Solution

The fourth proportional to 5,952.58, 8,929.78 and 1,570.39 is: 2,355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.58 : 8,929.78 = 1,570.39 : x
  2. Step 2: Convert to fraction form
    5,952.58/8,929.78 = 1,570.39/x
  3. Step 3: Cross multiply
    5,952.58x = 8,929.78 × 1,570.39
  4. Step 4: Simplify right side
    5,952.58x = 14,023,210.96
  5. Step 5: Solve for x
    x = 14,023,210.96/5,952.58
  6. Step 6: Final answer
    x = 2,355.82

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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.