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Finding the Fourth Proportional to 5,973.15, 8,959.93 and 1,590.61

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Solution

The fourth proportional to 5,973.15, 8,959.93 and 1,590.61 is: 2,385.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,973.15 : 8,959.93 = 1,590.61 : x
  2. Step 2: Convert to fraction form
    5,973.15/8,959.93 = 1,590.61/x
  3. Step 3: Cross multiply
    5,973.15x = 8,959.93 × 1,590.61
  4. Step 4: Simplify right side
    5,973.15x = 14,251,746.30
  5. Step 5: Solve for x
    x = 14,251,746.30/5,973.15
  6. Step 6: Final answer
    x = 2,385.97

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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.